8856960 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 2021376.

The previous prime is 8856959. The next prime is 8856971. The reversal of 8856960 is 696588.

8856960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13111 + ... + 13769.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 2^8856960 is an apocalyptic number.

8856960 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 8856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

8856960 is an abundant number, since it is smaller than the sum of its proper divisors (23456640).

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

8856960 is a wasteful number, since it uses less digits than its factorization.

8856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 8856960 is about 2976.0645154297. The cubic root of 8856960 is about 206.9005099626.

The spelling of 8856960 in words is "eight million, eight hundred fifty-six thousand, nine hundred sixty".