630180 has 60 divisors (see below), whose sum is σ = 1981980. Its totient is φ = 167616.

The previous prime is 630169. The next prime is 630181. The reversal of 630180 is 81036.

630180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 443556 = 432^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (630181) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1426 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (33033).

2⁶³⁰¹⁸⁰ is an apocalyptic number.

630180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990990).

630180 is an abundant number, since it is smaller than the sum of its proper divisors (1351800).

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

630180 is a wasteful number, since it uses less digits than its factorization.

630180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 630180 is about 793.8387745632. The cubic root of 630180 is about 85.7343524446.

Subtracting from 630180 its product of nonzero digits (144), we obtain a palindrome (630036).

The spelling of 630180 in words is "six hundred thirty thousand, one hundred eighty".