22645872 has 160 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 6842880.

The previous prime is 22645859. The next prime is 22645877. The reversal of 22645872 is 27854622.

22645872 is a `hidden beast` number, since 2 + 2 + 645 + 8 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22645877) 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 31 ways as a sum of consecutive naturals, for example, 254404 + ... + 254492.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^22645872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22645872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

22645872 is an abundant number, since it is smaller than the sum of its proper divisors (48778128).

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

22645872 is a wasteful number, since it uses less digits than its factorization.

22645872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22645872 is about 4758.7679077677. The cubic root of 22645872 is about 282.9195874204.

The spelling of 22645872 in words is "twenty-two million, six hundred forty-five thousand, eight hundred seventy-two".