23206400 has 180 divisors, whose sum is σ = 68690358. Its totient is φ = 7741440.

The previous prime is 23206399. The next prime is 23206433. The reversal of 23206400 is 460232.

It can be written as a sum of positive squares in 3 ways, for example, as 21086464 + 2119936 = 4592^2 + 1456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 627182 + ... + 627218.

Almost surely, 2^23206400 is an apocalyptic number.

23206400 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 23206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34345179).

23206400 is an abundant number, since it is smaller than the sum of its proper divisors (45483958).

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

23206400 is an equidigital number, since it uses as much as digits as its factorization.

23206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 23206400 is about 4817.3021495439. The cubic root of 23206400 is about 285.2348530981.

Adding to 23206400 its reverse (460232), we get a palindrome (23666632).

The spelling of 23206400 in words is "twenty-three million, two hundred six thousand, four hundred".