23009600 has 84 divisors (see below), whose sum is σ = 57684924. Its totient is φ = 9031680.

The previous prime is 23009521. The next prime is 23009611. The reversal of 23009600 is 690032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1032256 + 21977344 = 1016^2 + 4688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 116702 + ... + 116898.

Almost surely, 2^23009600 is an apocalyptic number.

23009600 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 23009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28842462).

23009600 is an abundant number, since it is smaller than the sum of its proper divisors (34675324).

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

23009600 is a wasteful number, since it uses less digits than its factorization.

23009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 23009600 is about 4796.8322880835. The cubic root of 23009600 is about 284.4262593264.

Adding to 23009600 its reverse (690032), we get a palindrome (23699632).

The spelling of 23009600 in words is "twenty-three million, nine thousand, six hundred".