32008864 has 48 divisors (see below), whose sum is σ = 66721536. Its totient is φ = 15091200.

The previous prime is 32008861. The next prime is 32008871. The reversal of 32008864 is 46880023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32008861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40279 + ... + 41065.

It is an arithmetic number, because the mean of its divisors is an integer number (1390032).

Almost surely, 2^32008864 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 32008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33360768).

32008864 is an abundant number, since it is smaller than the sum of its proper divisors (34712672).

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

32008864 is a wasteful number, since it uses less digits than its factorization.

32008864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 32008864 is about 5657.6376695579. The cubic root of 32008864 is about 317.5095216935.

Adding to 32008864 its reverse (46880023), we get a palindrome (78888887).

The spelling of 32008864 in words is "thirty-two million, eight thousand, eight hundred sixty-four".