15960960 has 192 divisors, whose sum is σ = 58715280. Its totient is φ = 3981312.

The previous prime is 15960899. The next prime is 15960961. The reversal of 15960960 is 6906951.

15960960 is a `hidden beast` number, since 1 + 596 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (15960961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97839 + ... + 98001.

Almost surely, 2^15960960 is an apocalyptic number.

15960960 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 15960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29357640).

15960960 is an abundant number, since it is smaller than the sum of its proper divisors (42754320).

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

15960960 is a wasteful number, since it uses less digits than its factorization.

15960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 15960960 is about 3995.1170195628. The cubic root of 15960960 is about 251.7790959048.

The spelling of 15960960 in words is "fifteen million, nine hundred sixty thousand, nine hundred sixty".