22513680 has 160 divisors (see below), whose sum is σ = 88684800. Its totient is φ = 5142528.

The previous prime is 22513679. The next prime is 22513693. The reversal of 22513680 is 8631522.

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 31 ways as a sum of consecutive naturals, for example, 14376 + ... + 15864.

It is an arithmetic number, because the mean of its divisors is an integer number (554280).

Almost surely, 2^22513680 is an apocalyptic number.

22513680 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 22513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44342400).

22513680 is an abundant number, since it is smaller than the sum of its proper divisors (66171120).

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

22513680 is a wasteful number, since it uses less digits than its factorization.

22513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22513680 is about 4744.8582697484. The cubic root of 22513680 is about 282.3680120632.

The spelling of 22513680 in words is "twenty-two million, five hundred thirteen thousand, six hundred eighty".