22767920 has 80 divisors (see below), whose sum is σ = 61216320. Its totient is φ = 7713792.

The previous prime is 22767911. The next prime is 22767949. The reversal of 22767920 is 2976722.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22767920² = 1036756362252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60854 + ... + 61226.

It is an arithmetic number, because the mean of its divisors is an integer number (765204).

Almost surely, 2^22767920 is an apocalyptic number.

22767920 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 22767920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608160).

22767920 is an abundant number, since it is smaller than the sum of its proper divisors (38448400).

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

22767920 is a wasteful number, since it uses less digits than its factorization.

22767920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 22767920 is about 4771.5741637326. The cubic root of 22767920 is about 283.4269340885.

The spelling of 22767920 in words is "twenty-two million, seven hundred sixty-seven thousand, nine hundred twenty".