22582560 has 384 divisors, whose sum is σ = 97542144. Its totient is φ = 4239360.

The previous prime is 22582537. The next prime is 22582577. The reversal of 22582560 is 6528522.

22582560 is a nontrivial binomial coefficient, being equal to C(6721, 2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480457 + ... + 480503.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 2^22582560 is an apocalyptic number.

22582560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22582560 is the 6720-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771072).

22582560 is an abundant number, since it is smaller than the sum of its proper divisors (74959584).

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

22582560 is a wasteful number, since it uses less digits than its factorization.

22582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 22582560 is about 4752.1111098121. Note that the first 4 decimals coincide. The cubic root of 22582560 is about 282.6556846728.

The spelling of 22582560 in words is "twenty-two million, five hundred eighty-two thousand, five hundred sixty".