632545312 has 72 divisors (see below), whose sum is σ = 1462327020. Its totient is φ = 268531200.

The previous prime is 632545279. The next prime is 632545369. The reversal of 632545312 is 213545236.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 630813456 + 1731856 = 25116^2 + 1316^2 .

It is a super-2 number, since 2×632545312² = 800227143466354688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169062 + ... + 172762.

Almost surely, 2^632545312 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 632545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731163510).

632545312 is an abundant number, since it is smaller than the sum of its proper divisors (829781708).

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

632545312 is a wasteful number, since it uses less digits than its factorization.

632545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3819 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 632545312 is about 25150.4535147977. The cubic root of 632545312 is about 858.4148337312.

The spelling of 632545312 in words is "six hundred thirty-two million, five hundred forty-five thousand, three hundred twelve".