22968320 has 48 divisors (see below), whose sum is σ = 55135080. Its totient is φ = 9183232.

The previous prime is 22968313. The next prime is 22968349. The reversal of 22968320 is 2386922.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9119 + ... + 11361.

Almost surely, 2^22968320 is an apocalyptic number.

22968320 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 22968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567540).

22968320 is an abundant number, since it is smaller than the sum of its proper divisors (32166760).

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

22968320 is an equidigital number, since it uses as much as digits as its factorization.

22968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 22968320 is about 4792.5275168746. The cubic root of 22968320 is about 284.2560674020.

The spelling of 22968320 in words is "twenty-two million, nine hundred sixty-eight thousand, three hundred twenty".