23768320 has 72 divisors (see below), whose sum is σ = 58867200. Its totient is φ = 9185280.

The previous prime is 23768291. The next prime is 23768347. The reversal of 23768320 is 2386732.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39381 + ... + 39979.

It is an arithmetic number, because the mean of its divisors is an integer number (817600).

Almost surely, 2^23768320 is an apocalyptic number.

23768320 is a gapful number since it is divisible by the number (20) 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 23768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29433600).

23768320 is an abundant number, since it is smaller than the sum of its proper divisors (35098880).

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

23768320 is an equidigital number, since it uses as much as digits as its factorization.

23768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 23768320 is about 4875.2764024207. The cubic root of 23768320 is about 287.5187435795.

The spelling of 23768320 in words is "twenty-three million, seven hundred sixty-eight thousand, three hundred twenty".