15936960 has 112 divisors (see below), whose sum is σ = 54534816. Its totient is φ = 3919872.

The previous prime is 15936959. The next prime is 15936983. The reversal of 15936960 is 6963951.

15936960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 11842 + ... + 13118.

It is an arithmetic number, because the mean of its divisors is an integer number (486918).

Almost surely, 2^15936960 is an apocalyptic number.

15936960 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 15936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27267408).

15936960 is an abundant number, since it is smaller than the sum of its proper divisors (38597856).

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

15936960 is a wasteful number, since it uses less digits than its factorization.

With its successor (15936961) it forms an eRAP, since the sums of their prime factors are consecutive (1310 and 1311).

15936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 15936960 is about 3992.1122228715. The cubic root of 15936960 is about 251.6528351291.

The spelling of 15936960 in words is "fifteen million, nine hundred thirty-six thousand, nine hundred sixty".