22769120 has 96 divisors (see below), whose sum is σ = 62215776. Its totient is φ = 7782400.

The previous prime is 22769113. The next prime is 22769167. The reversal of 22769120 is 2196722.

It is a congruent number.

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, 29540 + ... + 30300.

It is an arithmetic number, because the mean of its divisors is an integer number (648081).

Almost surely, 2^22769120 is an apocalyptic number.

22769120 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 22769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31107888).

22769120 is an abundant number, since it is smaller than the sum of its proper divisors (39446656).

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

22769120 is a wasteful number, since it uses less digits than its factorization.

22769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 22769120 is about 4771.6999067418. The cubic root of 22769120 is about 283.4319134095.

The spelling of 22769120 in words is "twenty-two million, seven hundred sixty-nine thousand, one hundred twenty".