8832960 has 84 divisors (see below), whose sum is σ = 30391608. Its totient is φ = 2354688.

The previous prime is 8832959. The next prime is 8832961. The reversal of 8832960 is 692388.

It is an interprime number because it is at equal distance from previous prime (8832959) and next prime (8832961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8832961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1347 + ... + 4413.

Almost surely, 2^8832960 is an apocalyptic number.

8832960 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 8832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195804).

8832960 is an abundant number, since it is smaller than the sum of its proper divisors (21558648).

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

8832960 is a wasteful number, since it uses less digits than its factorization.

8832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8832960 is about 2972.0296095429. The cubic root of 8832960 is about 206.7134591700.

The spelling of 8832960 in words is "eight million, eight hundred thirty-two thousand, nine hundred sixty".