23328600 has 96 divisors (see below), whose sum is σ = 73656000. Its totient is φ = 6106240.

The previous prime is 23328593. The next prime is 23328629. The reversal of 23328600 is 682332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35071 + ... + 35729.

It is an arithmetic number, because the mean of its divisors is an integer number (767250).

Almost surely, 2^23328600 is an apocalyptic number.

23328600 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 23328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000).

23328600 is an abundant number, since it is smaller than the sum of its proper divisors (50327400).

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

23328600 is a wasteful number, since it uses less digits than its factorization.

23328600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23328600 is about 4829.9689439995. The cubic root of 23328600 is about 285.7346390263.

The spelling of 23328600 in words is "twenty-three million, three hundred twenty-eight thousand, six hundred".