23185664 has 54 divisors (see below), whose sum is σ = 48439734. Its totient is φ = 11069440.

The previous prime is 23185649. The next prime is 23185693. The reversal of 23185664 is 46658132.

It can be written as a sum of positive squares in only one way, i.e., 14137600 + 9048064 = 3760^2 + 3008^2 .

Its product of digits (34560) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 493289 + ... + 493335.

Almost surely, 2^23185664 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 23185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24219867).

23185664 is an abundant number, since it is smaller than the sum of its proper divisors (25254070).

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

23185664 is an frugal number, since it uses more digits than its factorization.

23185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 90 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 23185664 is about 4815.1494265495. The cubic root of 23185664 is about 285.1498709028.

The spelling of 23185664 in words is "twenty-three million, one hundred eighty-five thousand, six hundred sixty-four".