23005800 has 72 divisors (see below), whose sum is σ = 77267190. Its totient is φ = 6134400.

The previous prime is 23005799. The next prime is 23005831. The reversal of 23005800 is 850032.

It can be written as a sum of positive squares in 3 ways, for example, as 19342404 + 3663396 = 4398^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4591 + ... + 8190.

Almost surely, 2^23005800 is an apocalyptic number.

23005800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23005800 is an abundant number, since it is smaller than the sum of its proper divisors (54261390).

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

23005800 is a wasteful number, since it uses less digits than its factorization.

23005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803 (or 12791 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23005800 is about 4796.4361769964. The cubic root of 23005800 is about 284.4106009449.

Adding to 23005800 its reverse (850032), we get a palindrome (23855832).

It can be divided in two parts, 2300 and 5800, that added together give a square (8100 = 90²).

The spelling of 23005800 in words is "twenty-three million, five thousand, eight hundred".