22653680 has 60 divisors (see below), whose sum is σ = 61279560. Its totient is φ = 7765632.

The previous prime is 22653679. The next prime is 22653713. The reversal of 22653680 is 8635622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1031 + ... + 6809.

It is an arithmetic number, because the mean of its divisors is an integer number (1021326).

Almost surely, 2^22653680 is an apocalyptic number.

22653680 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 22653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30639780).

22653680 is an abundant number, since it is smaller than the sum of its proper divisors (38625880).

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

22653680 is a wasteful number, since it uses less digits than its factorization.

22653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 22653680 is about 4759.5882174827. The cubic root of 22653680 is about 282.9520993399.

The spelling of 22653680 in words is "twenty-two million, six hundred fifty-three thousand, six hundred eighty".