22691920 has 40 divisors (see below), whose sum is σ = 54583560. Its totient is φ = 8762880.

The previous prime is 22691887. The next prime is 22691927. The reversal of 22691920 is 2919622.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 20720704 = 1404^2 + 4552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22691927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2571 + ... + 7210.

It is an arithmetic number, because the mean of its divisors is an integer number (1364589).

Almost surely, 2^22691920 is an apocalyptic number.

22691920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22691920 is an abundant number, since it is smaller than the sum of its proper divisors (31891640).

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

22691920 is a wasteful number, since it uses less digits than its factorization.

22691920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 22691920 is about 4763.6036778893. The cubic root of 22691920 is about 283.1112200035. Note that the first 3 decimals are identical.

The spelling of 22691920 in words is "twenty-two million, six hundred ninety-one thousand, nine hundred twenty".