8032960 has 56 divisors (see below), whose sum is σ = 20610576. Its totient is φ = 2964480.

The previous prime is 8032943. The next prime is 8032967. The reversal of 8032960 is 692308.

It is not an unprimeable number, because it can be changed into a prime (8032967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3195 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (368046).

Almost surely, 2^8032960 is an apocalyptic number.

8032960 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 8032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305288).

8032960 is an abundant number, since it is smaller than the sum of its proper divisors (12577616).

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

8032960 is a wasteful number, since it uses less digits than its factorization.

8032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 8032960 is about 2834.2476955975. The cubic root of 8032960 is about 200.2742903188.

The spelling of 8032960 in words is "eight million, thirty-two thousand, nine hundred sixty".