32504864 has 72 divisors (see below), whose sum is σ = 76071744. Its totient is φ = 13392000.

The previous prime is 32504851. The next prime is 32504869. The reversal of 32504864 is 46840523.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32504864.

It is not an unprimeable number, because it can be changed into a prime (32504869) 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, 215189 + ... + 215339.

It is an arithmetic number, because the mean of its divisors is an integer number (1056552).

Almost surely, 2^32504864 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 32504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38035872).

32504864 is an abundant number, since it is smaller than the sum of its proper divisors (43566880).

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

32504864 is a wasteful number, since it uses less digits than its factorization.

32504864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 32504864 is about 5701.3037105560. The cubic root of 32504864 is about 319.1411344057.

The spelling of 32504864 in words is "thirty-two million, five hundred four thousand, eight hundred sixty-four".