22812960 has 48 divisors (see below), whose sum is σ = 71862336. Its totient is φ = 6083328.

The previous prime is 22812947. The next prime is 22813009. The reversal of 22812960 is 6921822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22812960² = 1040862287923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23284 + ... + 24243.

It is an arithmetic number, because the mean of its divisors is an integer number (1497132).

Almost surely, 2^22812960 is an apocalyptic number.

22812960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22812960 is an abundant number, since it is smaller than the sum of its proper divisors (49049376).

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

22812960 is a wasteful number, since it uses less digits than its factorization.

22812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47545 (or 47537 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 22812960 is about 4776.2914483938. The cubic root of 22812960 is about 283.6137047825.

The spelling of 22812960 in words is "twenty-two million, eight hundred twelve thousand, nine hundred sixty".