23005600 has 72 divisors (see below), whose sum is σ = 56832300. Its totient is φ = 9093120.

The previous prime is 23005597. The next prime is 23005621. The reversal of 23005600 is 650032.

It can be written as a sum of positive squares in 6 ways, for example, as 1882384 + 21123216 = 1372^2 + 4596^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 119104 + ... + 119296.

Almost surely, 2^23005600 is an apocalyptic number.

23005600 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 23005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28416150).

23005600 is an abundant number, since it is smaller than the sum of its proper divisors (33826700).

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

23005600 is a wasteful number, since it uses less digits than its factorization.

23005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23005600 is about 4796.4153281383. The cubic root of 23005600 is about 284.4097767717.

Adding to 23005600 its reverse (650032), we get a palindrome (23655632).

The spelling of 23005600 in words is "twenty-three million, five thousand, six hundred".