15216960 has 168 divisors, whose sum is σ = 53510688. Its totient is φ = 3660800.

The previous prime is 15216947. The next prime is 15216977. The reversal of 15216960 is 6961251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116095 + ... + 116225.

It is an arithmetic number, because the mean of its divisors is an integer number (318516).

Almost surely, 2^15216960 is an apocalyptic number.

15216960 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 15216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26755344).

15216960 is an abundant number, since it is smaller than the sum of its proper divisors (38293728).

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

15216960 is a wasteful number, since it uses less digits than its factorization.

15216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 15216960 is about 3900.8922056371. The cubic root of 15216960 is about 247.8045633347.

The spelling of 15216960 in words is "fifteen million, two hundred sixteen thousand, nine hundred sixty".