15996960 has 288 divisors, whose sum is σ = 66890880. Its totient is φ = 3497472.

The previous prime is 15996943. The next prime is 15996971. The reversal of 15996960 is 6969951.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695509 + ... + 695531.

It is an arithmetic number, because the mean of its divisors is an integer number (232260).

Almost surely, 2^15996960 is an apocalyptic number.

15996960 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 15996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

15996960 is an abundant number, since it is smaller than the sum of its proper divisors (50893920).

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

15996960 is a wasteful number, since it uses less digits than its factorization.

15996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 15996960 is about 3999.6199819483. The cubic root of 15996960 is about 251.9682499682.

The spelling of 15996960 in words is "fifteen million, nine hundred ninety-six thousand, nine hundred sixty".