22657120 has 96 divisors (see below), whose sum is σ = 58514400. Its totient is φ = 8257536.

The previous prime is 22657111. The next prime is 22657127. The reversal of 22657120 is 2175622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22657127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88032 + ... + 88288.

It is an arithmetic number, because the mean of its divisors is an integer number (609525).

Almost surely, 2^22657120 is an apocalyptic number.

22657120 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 22657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29257200).

22657120 is an abundant number, since it is smaller than the sum of its proper divisors (35857280).

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

22657120 is a wasteful number, since it uses less digits than its factorization.

22657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 22657120 is about 4759.9495795649. The cubic root of 22657120 is about 282.9664208682.

The spelling of 22657120 in words is "twenty-two million, six hundred fifty-seven thousand, one hundred twenty".