23064400 has 90 divisors (see below), whose sum is σ = 58457630. Its totient is φ = 8743680.

The previous prime is 23064397. The next prime is 23064401. The reversal of 23064400 is 446032.

It can be written as a sum of positive squares in 3 ways, for example, as 2742336 + 20322064 = 1656^2 + 4508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23064401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211546 + ... + 211654.

Almost surely, 2^23064400 is an apocalyptic number.

23064400 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 23064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29228815).

23064400 is an abundant number, since it is smaller than the sum of its proper divisors (35393230).

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

23064400 is a wasteful number, since it uses less digits than its factorization.

23064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 23064400 is about 4802.5409940989. The cubic root of 23064400 is about 284.6518782222.

The spelling of 23064400 in words is "twenty-three million, sixty-four thousand, four hundred".