23485600 has 72 divisors (see below), whose sum is σ = 59246208. Its totient is φ = 9081600.

The previous prime is 23485589. The next prime is 23485607. The reversal of 23485600 is 658432.

It is not an unprimeable number, because it can be changed into a prime (23485607) 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, 24327 + ... + 25273.

It is an arithmetic number, because the mean of its divisors is an integer number (822864).

Almost surely, 2^23485600 is an apocalyptic number.

23485600 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 23485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29623104).

23485600 is an abundant number, since it is smaller than the sum of its proper divisors (35760608).

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

23485600 is a wasteful number, since it uses less digits than its factorization.

23485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 23485600 is about 4846.1943832248. The cubic root of 23485600 is about 286.3741984392.

The spelling of 23485600 in words is "twenty-three million, four hundred eighty-five thousand, six hundred".