23412800 has 42 divisors (see below), whose sum is σ = 57614058. Its totient is φ = 9364480.

The previous prime is 23412799. The next prime is 23412811. The reversal of 23412800 is 821432.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 23116864 = 544^2 + 4808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5717 + ... + 8916.

Almost surely, 2^23412800 is an apocalyptic number.

23412800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23412800 is an abundant number, since it is smaller than the sum of its proper divisors (34201258).

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

23412800 is a wasteful number, since it uses less digits than its factorization.

23412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 23412800 is about 4838.6775052694. The cubic root of 23412800 is about 286.0779939535.

The spelling of 23412800 in words is "twenty-three million, four hundred twelve thousand, eight hundred".