22656816 has 270 divisors, whose sum is σ = 84073860. Its totient is φ = 5660928.

The previous prime is 22656793. The next prime is 22656833. The reversal of 22656816 is 61865622.

22656816 = 118³ + 119³ + ... + 129³.

It is a super-2 number, since 2×22656816² = 1026662622515712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 53 ways as a sum of consecutive naturals, for example, 1192455 + ... + 1192473.

Almost surely, 2^22656816 is an apocalyptic number.

22656816 is a gapful number since it is divisible by the number (26) 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 22656816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42036930).

22656816 is an abundant number, since it is smaller than the sum of its proper divisors (61417044).

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

22656816 is a wasteful number, since it uses less digits than its factorization.

22656816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 22656816 is about 4759.9176463464. The cubic root of 22656816 is about 282.9651553032.

The spelling of 22656816 in words is "twenty-two million, six hundred fifty-six thousand, eight hundred sixteen".