32632964 has 48 divisors (see below), whose sum is σ = 72215808. Its totient is φ = 12555648.

The previous prime is 32632961. The next prime is 32632981. The reversal of 32632964 is 46923623.

It is not an unprimeable number, because it can be changed into a prime (32632961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12257 + ... + 14679.

It is an arithmetic number, because the mean of its divisors is an integer number (1504496).

Almost surely, 2^32632964 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 32632964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36107904).

32632964 is an abundant number, since it is smaller than the sum of its proper divisors (39582844).

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

32632964 is a wasteful number, since it uses less digits than its factorization.

32632964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2482 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 32632964 is about 5712.5269364792. The cubic root of 32632964 is about 319.5598244824.

The spelling of 32632964 in words is "thirty-two million, six hundred thirty-two thousand, nine hundred sixty-four".