23664312 has 192 divisors, whose sum is σ = 79672320. Its totient is φ = 6438528.

The previous prime is 23664307. The next prime is 23664313. The reversal of 23664312 is 21346632.

23664312 is a `hidden beast` number, since 2 + 3 + 6 + 643 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5184) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23664313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503473 + ... + 503519.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 2^23664312 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 23664312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

23664312 is an abundant number, since it is smaller than the sum of its proper divisors (56008008).

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

23664312 is a wasteful number, since it uses less digits than its factorization.

23664312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 23664312 is about 4864.5978251033. The cubic root of 23664312 is about 287.0987450933.

The spelling of 23664312 in words is "twenty-three million, six hundred sixty-four thousand, three hundred twelve".