22641920 has 162 divisors, whose sum is σ = 66584322. Its totient is φ = 7354368.

The previous prime is 22641907. The next prime is 22641929. The reversal of 22641920 is 2914622.

It can be written as a sum of positive squares in only one way, i.e., 18113536 + 4528384 = 4256^2 + 2128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22641920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22641929) 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 17 ways as a sum of consecutive naturals, for example, 1191671 + ... + 1191689.

Almost surely, 2^22641920 is an apocalyptic number.

22641920 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 22641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33292161).

22641920 is an abundant number, since it is smaller than the sum of its proper divisors (43942402).

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

22641920 is an equidigital number, since it uses as much as digits as its factorization.

22641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 22641920 is about 4758.3526561196. The cubic root of 22641920 is about 282.9031287437.

The spelling of 22641920 in words is "twenty-two million, six hundred forty-one thousand, nine hundred twenty".