630576 has 60 divisors (see below), whose sum is σ = 1837680. Its totient is φ = 201600.

The previous prime is 630559. The next prime is 630577. The reversal of 630576 is 675036.

630576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630577) 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, 4101 + ... + 4251.

It is an arithmetic number, because the mean of its divisors is an integer number (30628).

2⁶³⁰⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918840).

630576 is an abundant number, since it is smaller than the sum of its proper divisors (1207104).

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

630576 is a wasteful number, since it uses less digits than its factorization.

630576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 630576 is about 794.0881563152. The cubic root of 630576 is about 85.7523069415.

The spelling of 630576 in words is "six hundred thirty thousand, five hundred seventy-six".