632952 has 48 divisors (see below), whose sum is σ = 1755000. Its totient is φ = 206016.

The previous prime is 632941. The next prime is 632971. The reversal of 632952 is 259236.

It is a congruent number.

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, 4174 + ... + 4322.

2⁶³²⁹⁵² 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 632952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877500).

632952 is an abundant number, since it is smaller than the sum of its proper divisors (1122048).

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

632952 is a wasteful number, since it uses less digits than its factorization.

632952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 632952 is about 795.5828052441. The cubic root of 632952 is about 85.8598763754.

The spelling of 632952 in words is "six hundred thirty-two thousand, nine hundred fifty-two".