22580640 has 96 divisors (see below), whose sum is σ = 79047360. Its totient is φ = 6020352.

The previous prime is 22580639. The next prime is 22580653. The reversal of 22580640 is 4608522.

22580640 is a `hidden beast` number, since 22 + 580 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707 + ... + 6933.

It is an arithmetic number, because the mean of its divisors is an integer number (823410).

Almost surely, 2^22580640 is an apocalyptic number.

22580640 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 22580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39523680).

22580640 is an abundant number, since it is smaller than the sum of its proper divisors (56466720).

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

22580640 is a wasteful number, since it uses less digits than its factorization.

22580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22580640 is about 4751.9090900395. The cubic root of 22580640 is about 282.6476738554.

It can be divided in two parts, 22580 and 640, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 22580640 in words is "twenty-two million, five hundred eighty thousand, six hundred forty".