23185120 has 96 divisors (see below), whose sum is σ = 63479808. Its totient is φ = 7838208.

The previous prime is 23185109. The next prime is 23185133. The reversal of 23185120 is 2158132.

It is a junction number, because it is equal to n+sod(n) for n = 23185091 and 23185100.

It is a congruent number.

It is an unprimeable number.

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, 142159 + ... + 142321.

It is an arithmetic number, because the mean of its divisors is an integer number (661248).

Almost surely, 2^23185120 is an apocalyptic number.

23185120 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 23185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31739904).

23185120 is an abundant number, since it is smaller than the sum of its proper divisors (40294688).

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

23185120 is a wasteful number, since it uses less digits than its factorization.

23185120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 23185120 is about 4815.0929378362. The cubic root of 23185120 is about 285.1476407496.

The spelling of 23185120 in words is "twenty-three million, one hundred eighty-five thousand, one hundred twenty".