8616960 has 264 divisors, whose sum is σ = 34487856. Its totient is φ = 1966080.

The previous prime is 8616947. The next prime is 8616989. The reversal of 8616960 is 696168.

It is a tau number, because it is divible by the number of its divisors (264).

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

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, 506872 + ... + 506888.

Almost surely, 2^8616960 is an apocalyptic number.

8616960 is a gapful number since it is divisible by the number (80) 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 8616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243928).

8616960 is an abundant number, since it is smaller than the sum of its proper divisors (25870896).

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

8616960 is a wasteful number, since it uses less digits than its factorization.

8616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8616960 is about 2935.4658914728. The cubic root of 8616960 is about 205.0145537952.

The spelling of 8616960 in words is "eight million, six hundred sixteen thousand, nine hundred sixty".