• 630 can be written using four 4's:

630 has 24 divisors (see below), whose sum is σ = 1872. Its totient is φ = 144.

The previous prime is 619. The next prime is 631. The reversal of 630 is 36.

Added to its reverse (36) it gives a triangular number (666 = T_{36}).

630 = 11^{2} + 12^{2} + ... + 14^{2}.

630 is nontrivially palindromic in base 4.

630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

630 is a nontrivial binomial coefficient, being equal to C(36, 2).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an alternating number because its digits alternate between even and odd.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 8 and base 12.

It is a nialpdrome in base 9, base 10 and base 14.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 630.

It is not an unprimeable number, because it can be changed into a prime (631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (78).

630 is the 35-th triangular number and also the 18-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936).

630 is an abundant number, since it is smaller than the sum of its proper divisors (1242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

630 is a wasteful number, since it uses less digits than its factorization.

630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 630 is about 25.0998007960. The cubic root of 630 is about 8.5726188823.

Adding to 630 its reverse (36), we get a palindrome (666).

It can be divided in two parts, 6 and 30, that added together give a triangular number (36 = T_{8}).

The spelling of 630 in words is "six hundred thirty", and thus it is an aban number and an oban number.

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