23264160 has 96 divisors (see below), whose sum is σ = 77620032. Its totient is φ = 5836800.

The previous prime is 23264147. The next prime is 23264183. The reversal of 23264160 is 6146232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23264160² = 1082442281011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23264160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735 + ... + 9585.

It is an arithmetic number, because the mean of its divisors is an integer number (808542).

Almost surely, 2^23264160 is an apocalyptic number.

23264160 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 23264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38810016).

23264160 is an abundant number, since it is smaller than the sum of its proper divisors (54355872).

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

23264160 is a wasteful number, since it uses less digits than its factorization.

23264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23264160 is about 4823.2934806002. The cubic root of 23264160 is about 285.4713038942.

The spelling of 23264160 in words is "twenty-three million, two hundred sixty-four thousand, one hundred sixty".