8916960 has 96 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 2193408.

The previous prime is 8916931. The next prime is 8916977. The reversal of 8916960 is 696198.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

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, 5526 + ... + 6954.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^8916960 is an apocalyptic number.

8916960 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 8916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

8916960 is an abundant number, since it is smaller than the sum of its proper divisors (21353280).

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

8916960 is a wasteful number, since it uses less digits than its factorization.

8916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 8916960 is about 2986.1279276012. The cubic root of 8916960 is about 207.3666632613.

The spelling of 8916960 in words is "eight million, nine hundred sixteen thousand, nine hundred sixty".