957632 has 28 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 441600.

The previous prime is 957611. The next prime is 957641. The reversal of 957632 is 236759.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

957632 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 3 ways as a sum of consecutive naturals, for example, 257 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (73152).

2⁹⁵⁷⁶³² 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 957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

957632 is an abundant number, since it is smaller than the sum of its proper divisors (1090624).

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

957632 is a wasteful number, since it uses less digits than its factorization.

957632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 957632 is about 978.5867360638. The cubic root of 957632 is about 98.5673052155.

The spelling of 957632 in words is "nine hundred fifty-seven thousand, six hundred thirty-two".