23260800 has 96 divisors (see below), whose sum is σ = 76646880. Its totient is φ = 6200320.

The previous prime is 23260789. The next prime is 23260801. The reversal of 23260800 is 806232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23260801) 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, 8389 + ... + 10811.

It is an arithmetic number, because the mean of its divisors is an integer number (798405).

Almost surely, 2^23260800 is an apocalyptic number.

23260800 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 23260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38323440).

23260800 is an abundant number, since it is smaller than the sum of its proper divisors (53386080).

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

23260800 is a wasteful number, since it uses less digits than its factorization.

23260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23260800 is about 4822.9451583032. The cubic root of 23260800 is about 285.4575598667.

The spelling of 23260800 in words is "twenty-three million, two hundred sixty thousand, eight hundred".