32532864 has 256 divisors, whose sum is σ = 114240000. Its totient is φ = 8128512.

The previous prime is 32532847. The next prime is 32532869. The reversal of 32532864 is 46823523.

It is a happy number.

32532864 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32532869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712247 + ... + 1712265.

It is an arithmetic number, because the mean of its divisors is an integer number (446250).

Almost surely, 2^32532864 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 32532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120000).

32532864 is an abundant number, since it is smaller than the sum of its proper divisors (81707136).

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

32532864 is a wasteful number, since it uses less digits than its factorization.

32532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 32532864 is about 5703.7587606770. The cubic root of 32532864 is about 319.2327451787.

The spelling of 32532864 in words is "thirty-two million, five hundred thirty-two thousand, eight hundred sixty-four".