23266800 has 180 divisors, whose sum is σ = 84552624. Its totient is φ = 5913600.

The previous prime is 23266799. The next prime is 23266801. The reversal of 23266800 is 866232.

It is an interprime number because it is at equal distance from previous prime (23266799) and next prime (23266801).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23266801) 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 35 ways as a sum of consecutive naturals, for example, 82660 + ... + 82940.

Almost surely, 2^23266800 is an apocalyptic number.

23266800 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 23266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42276312).

23266800 is an abundant number, since it is smaller than the sum of its proper divisors (61285824).

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

23266800 is a wasteful number, since it uses less digits than its factorization.

23266800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

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

The square root of 23266800 is about 4823.5671447592. The cubic root of 23266800 is about 285.4821018446.

The spelling of 23266800 in words is "twenty-three million, two hundred sixty-six thousand, eight hundred".