22785120 has 72 divisors (see below), whose sum is σ = 77759136. Its totient is φ = 6075648.

The previous prime is 22785109. The next prime is 22785121. The reversal of 22785120 is 2158722.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22785121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6472 + ... + 9351.

It is an arithmetic number, because the mean of its divisors is an integer number (1079988).

Almost surely, 2^22785120 is an apocalyptic number.

22785120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22785120 is an abundant number, since it is smaller than the sum of its proper divisors (54974016).

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

22785120 is a wasteful number, since it uses less digits than its factorization.

22785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844 (or 15833 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 22785120 is about 4773.3761636812. The cubic root of 22785120 is about 283.4982876449.

The spelling of 22785120 in words is "twenty-two million, seven hundred eighty-five thousand, one hundred twenty".