630306 has 36 divisors (see below), whose sum is σ = 1456182. Its totient is φ = 196992.

The previous prime is 630299. The next prime is 630307. The reversal of 630306 is 603036.

630306 is a `hidden beast` number, since 630 + 30 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 549081 + 81225 = 741^2 + 285^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630307) by changing a digit.

630306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6450 + ... + 6546.

2⁶³⁰³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728091).

630306 is an abundant number, since it is smaller than the sum of its proper divisors (825876).

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

630306 is a wasteful number, since it uses less digits than its factorization.

630306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 630306 is about 793.9181317995. The cubic root of 630306 is about 85.7400660548.

It can be divided in two parts, 63030 and 6, that added together give a palindrome (63036).

The spelling of 630306 in words is "six hundred thirty thousand, three hundred six".