23012800 has 84 divisors (see below), whose sum is σ = 59684920. Its totient is φ = 8709120.

The previous prime is 23012797. The next prime is 23012809. The reversal of 23012800 is 821032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23012809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30022 + ... + 30778.

Almost surely, 2^23012800 is an apocalyptic number.

23012800 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 23012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29842460).

23012800 is an abundant number, since it is smaller than the sum of its proper divisors (36672120).

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

23012800 is a wasteful number, since it uses less digits than its factorization.

23012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 23012800 is about 4797.1658299458. The cubic root of 23012800 is about 284.4394439948.

Adding to 23012800 its reverse (821032), we get a palindrome (23833832).

The spelling of 23012800 in words is "twenty-three million, twelve thousand, eight hundred".