23064800 has 72 divisors (see below), whose sum is σ = 61449192. Its totient is φ = 8384000.

The previous prime is 23064799. The next prime is 23064829. The reversal of 23064800 is 846032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7490 + ... + 10110.

It is an arithmetic number, because the mean of its divisors is an integer number (853461).

Almost surely, 2^23064800 is an apocalyptic number.

23064800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30724596).

23064800 is an abundant number, since it is smaller than the sum of its proper divisors (38384392).

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

23064800 is a wasteful number, since it uses less digits than its factorization.

23064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2639 counting only the distinct ones).

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

The square root of 23064800 is about 4802.5826385394. The cubic root of 23064800 is about 284.6535237609.

The spelling of 23064800 in words is "twenty-three million, sixty-four thousand, eight hundred".