8760960 has 240 divisors, whose sum is σ = 33878790. Its totient is φ = 2156544.

The previous prime is 8760959. The next prime is 8760977. The reversal of 8760960 is 690678.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 4981824 = 1944^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 673914 + ... + 673926.

Almost surely, 2^8760960 is an apocalyptic number.

8760960 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 8760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939395).

8760960 is an abundant number, since it is smaller than the sum of its proper divisors (25117830).

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

8760960 is a wasteful number, since it uses less digits than its factorization.

8760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 8760960 is about 2959.8918899176. The cubic root of 8760960 is about 206.1502658299.

The spelling of 8760960 in words is "eight million, seven hundred sixty thousand, nine hundred sixty".