2832960 has 112 divisors (see below), whose sum is σ = 9729216. Its totient is φ = 694272.

The previous prime is 2832953. The next prime is 2832967. The reversal of 2832960 is 692382.

It is an interprime number because it is at equal distance from previous prime (2832953) and next prime (2832967).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2832967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12367 + ... + 12593.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

2^2832960 is an apocalyptic number.

2832960 is a gapful number since it is divisible by the number (20) 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 2832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608).

2832960 is an abundant number, since it is smaller than the sum of its proper divisors (6896256).

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

2832960 is a wasteful number, since it uses less digits than its factorization.

2832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2832960 is about 1683.1399228822. The cubic root of 2832960 is about 141.4968638361.

The spelling of 2832960 in words is "two million, eight hundred thirty-two thousand, nine hundred sixty".