15816960 has 108 divisors (see below), whose sum is σ = 54764892. Its totient is φ = 4214784.

The previous prime is 15816959. The next prime is 15816967. The reversal of 15816960 is 6961851.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 3873024 = 3456^2 + 1968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15816967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10834 + ... + 12206.

Almost surely, 2^15816960 is an apocalyptic number.

15816960 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 15816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27382446).

15816960 is an abundant number, since it is smaller than the sum of its proper divisors (38947932).

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

15816960 is a wasteful number, since it uses less digits than its factorization.

15816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 15816960 is about 3977.0541862037. The cubic root of 15816960 is about 251.0196224931.

The spelling of 15816960 in words is "fifteen million, eight hundred sixteen thousand, nine hundred sixty".