23393680 has 40 divisors (see below), whose sum is σ = 54710784. Its totient is φ = 9302400.

The previous prime is 23393659. The next prime is 23393687. The reversal of 23393680 is 8639332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23393687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14515 + ... + 16045.

Almost surely, 2^23393680 is an apocalyptic number.

23393680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23393680 is an abundant number, since it is smaller than the sum of its proper divisors (31317104).

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

23393680 is a wasteful number, since it uses less digits than its factorization.

23393680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 23393680 is about 4836.7013552627. The cubic root of 23393680 is about 286.0000978043. Note that the first 4 decimals are identical.

It can be divided in two parts, 23 and 393680, that multiplied together give a triangular number (9054640 = T₄₂₅₅).

The spelling of 23393680 in words is "twenty-three million, three hundred ninety-three thousand, six hundred eighty".