15618960 has 160 divisors (see below), whose sum is σ = 61543680. Its totient is φ = 3566592.

The previous prime is 15618949. The next prime is 15618979. The reversal of 15618960 is 6981651.

15618960 is a `hidden beast` number, since 1 + 561 + 8 + 96 + 0 = 666.

15618960 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×15618960² = 487903822963200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

15618960 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14604 + ... + 15636.

It is an arithmetic number, because the mean of its divisors is an integer number (384648).

Almost surely, 2^15618960 is an apocalyptic number.

15618960 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 15618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30771840).

15618960 is an abundant number, since it is smaller than the sum of its proper divisors (45924720).

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

15618960 is a wasteful number, since it uses less digits than its factorization.

15618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

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

The square root of 15618960 is about 3952.0829950799. The cubic root of 15618960 is about 249.9677825150.

The spelling of 15618960 in words is "fifteen million, six hundred eighteen thousand, nine hundred sixty".