23393664 has 128 divisors (see below), whose sum is σ = 78988800. Its totient is φ = 6676992.

The previous prime is 23393659. The next prime is 23393687. The reversal of 23393664 is 46639332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23709 + ... + 24675.

It is an arithmetic number, because the mean of its divisors is an integer number (617100).

Almost surely, 2^23393664 is an apocalyptic number.

23393664 is a gapful number since it is divisible by the number (24) 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 23393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39494400).

23393664 is an abundant number, since it is smaller than the sum of its proper divisors (55595136).

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

23393664 is an equidigital number, since it uses as much as digits as its factorization.

23393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 979 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 23393664 is about 4836.6997012426. The cubic root of 23393664 is about 286.0000326014. Note that the first 4 decimals are identical.

The spelling of 23393664 in words is "twenty-three million, three hundred ninety-three thousand, six hundred sixty-four".