22765920 has 96 divisors (see below), whose sum is σ = 73446912. Its totient is φ = 5924352.

The previous prime is 22765913. The next prime is 22765961. The reversal of 22765920 is 2956722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22765920² = 1036574226892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20089 + ... + 21191.

It is an arithmetic number, because the mean of its divisors is an integer number (765072).

Almost surely, 2^22765920 is an apocalyptic number.

22765920 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 22765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36723456).

22765920 is an abundant number, since it is smaller than the sum of its proper divisors (50680992).

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

22765920 is a wasteful number, since it uses less digits than its factorization.

22765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 22765920 is about 4771.3645846864. The cubic root of 22765920 is about 283.4186348314.

The spelling of 22765920 in words is "twenty-two million, seven hundred sixty-five thousand, nine hundred twenty".