32864000 has 144 divisors (see below), whose sum is σ = 89281920. Its totient is φ = 11980800.

The previous prime is 32863991. The next prime is 32864011. The reversal of 32864000 is 46823.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415961 + ... + 416039.

Almost surely, 2^32864000 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 32864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640960).

32864000 is an abundant number, since it is smaller than the sum of its proper divisors (56417920).

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

32864000 is an equidigital number, since it uses as much as digits as its factorization.

32864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 32864000 is about 5732.7131447509. The cubic root of 32864000 is about 320.3121953200.

The spelling of 32864000 in words is "thirty-two million, eight hundred sixty-four thousand".