32256864 has 72 divisors (see below), whose sum is σ = 94715712. Its totient is φ = 10402560.

The previous prime is 32256863. The next prime is 32256869. The reversal of 32256864 is 46865223.

32256864 is a `hidden beast` number, since 32 + 2 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×32256864² = 2081010550228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32256863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7122 + ... + 10734.

It is an arithmetic number, because the mean of its divisors is an integer number (1315496).

Almost surely, 2^32256864 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 32256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47357856).

32256864 is an abundant number, since it is smaller than the sum of its proper divisors (62458848).

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

32256864 is a wasteful number, since it uses less digits than its factorization.

32256864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3649 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 32256864 is about 5679.5126551492. The cubic root of 32256864 is about 318.3274187901.

The spelling of 32256864 in words is "thirty-two million, two hundred fifty-six thousand, eight hundred sixty-four".