22655680 has 56 divisors (see below), whose sum is σ = 54662832. Its totient is φ = 8942592.

The previous prime is 22655671. The next prime is 22655681. The reversal of 22655680 is 8655622.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22655681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26134 + ... + 26986.

It is an arithmetic number, because the mean of its divisors is an integer number (976122).

Almost surely, 2^22655680 is an apocalyptic number.

22655680 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 22655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331416).

22655680 is an abundant number, since it is smaller than the sum of its proper divisors (32007152).

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

22655680 is an equidigital number, since it uses as much as digits as its factorization.

22655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 22655680 is about 4759.7983150550. The cubic root of 22655680 is about 282.9604259863.

The spelling of 22655680 in words is "twenty-two million, six hundred fifty-five thousand, six hundred eighty".