23157120 has 128 divisors (see below), whose sum is σ = 84407040. Its totient is φ = 5289984.

The previous prime is 23157119. The next prime is 23157137. The reversal of 23157120 is 2175132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 12579 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (659430).

Almost surely, 2^23157120 is an apocalyptic number.

23157120 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 23157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42203520).

23157120 is an abundant number, since it is smaller than the sum of its proper divisors (61249920).

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

23157120 is a wasteful number, since it uses less digits than its factorization.

23157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 23157120 is about 4812.1845351150. The cubic root of 23157120 is about 285.0328063189.

The spelling of 23157120 in words is "twenty-three million, one hundred fifty-seven thousand, one hundred twenty".