15872160 has 96 divisors (see below), whose sum is σ = 51226560. Its totient is φ = 4128768.

The previous prime is 15872159. The next prime is 15872167. The reversal of 15872160 is 6127851.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (15872167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20256 + ... + 21024.

It is an arithmetic number, because the mean of its divisors is an integer number (533610).

Almost surely, 2^15872160 is an apocalyptic number.

15872160 is a gapful number since it is divisible by the number (10) 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 15872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

15872160 is an abundant number, since it is smaller than the sum of its proper divisors (35354400).

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

15872160 is a wasteful number, since it uses less digits than its factorization.

15872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 15872160 is about 3983.9879517890. The cubic root of 15872160 is about 251.3112966456.

The spelling of 15872160 in words is "fifteen million, eight hundred seventy-two thousand, one hundred sixty".