22661920 has 24 divisors (see below), whose sum is σ = 53539164. Its totient is φ = 9064704.

The previous prime is 22661917. The next prime is 22661939. The reversal of 22661920 is 2916622.

It can be written as a sum of positive squares in 2 ways, for example, as 22316176 + 345744 = 4724^2 + 588^2 .

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 3 ways as a sum of consecutive naturals, for example, 70659 + ... + 70978.

Almost surely, 2^22661920 is an apocalyptic number.

22661920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22661920 is an abundant number, since it is smaller than the sum of its proper divisors (30877244).

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

22661920 is a wasteful number, since it uses less digits than its factorization.

22661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141652 (or 141644 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 22661920 is about 4760.4537598847. The cubic root of 22661920 is about 282.9864019737.

It can be divided in two parts, 2266 and 1920, that added together give a triangular number (4186 = T₉₁).

The spelling of 22661920 in words is "twenty-two million, six hundred sixty-one thousand, nine hundred twenty".