23008800 has 72 divisors (see below), whose sum is σ = 74901456. Its totient is φ = 6135040.

The previous prime is 23008793. The next prime is 23008801. The reversal of 23008800 is 880032.

It is not an unprimeable number, because it can be changed into a prime (23008801) 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 11 ways as a sum of consecutive naturals, for example, 2394 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (1040298).

Almost surely, 2^23008800 is an apocalyptic number.

23008800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23008800 is an abundant number, since it is smaller than the sum of its proper divisors (51892656).

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

23008800 is a wasteful number, since it uses less digits than its factorization.

23008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23008800 is about 4796.7488989940. The cubic root of 23008800 is about 284.4229629683.

Adding to 23008800 its reverse (880032), we get a palindrome (23888832).

The spelling of 23008800 in words is "twenty-three million, eight thousand, eight hundred".