23745664 has 32 divisors (see below), whose sum is σ = 48944700. Its totient is φ = 11461632.

The previous prime is 23745661. The next prime is 23745679. The reversal of 23745664 is 46654732.

It can be written as a sum of positive squares in 2 ways, for example, as 21160000 + 2585664 = 4600^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (23745661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514 + ... + 6910.

Almost surely, 2^23745664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472350).

23745664 is an abundant number, since it is smaller than the sum of its proper divisors (25199036).

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

23745664 is an equidigital number, since it uses as much as digits as its factorization.

23745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6428 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 23745664 is about 4872.9522878846. The cubic root of 23745664 is about 287.4273600982.

The spelling of 23745664 in words is "twenty-three million, seven hundred forty-five thousand, six hundred sixty-four".