23268600 has 192 divisors, whose sum is σ = 83328000. Its totient is φ = 5961600.

The previous prime is 23268589. The next prime is 23268601. The reversal of 23268600 is 686232.

23268600 = 75³ + 76³ + ... + 105³.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23268601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167331 + ... + 167469.

It is an arithmetic number, because the mean of its divisors is an integer number (434000).

Almost surely, 2^23268600 is an apocalyptic number.

23268600 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 23268600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

23268600 is an abundant number, since it is smaller than the sum of its proper divisors (60059400).

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

23268600 is a wasteful number, since it uses less digits than its factorization.

23268600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23268600 is about 4823.7537250569. The cubic root of 23268600 is about 285.4894636152.

The spelling of 23268600 in words is "twenty-three million, two hundred sixty-eight thousand, six hundred".