2976960 has 112 divisors (see below), whose sum is σ = 10826496. Its totient is φ = 678912.

The previous prime is 2976931. The next prime is 2976971. The reversal of 2976960 is 696792.

It is a tau number, because it is divible by the number of its divisors (112).

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, 6499 + ... + 6941.

2^2976960 is an apocalyptic number.

2976960 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 2976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413248).

2976960 is an abundant number, since it is smaller than the sum of its proper divisors (7849536).

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

2976960 is a wasteful number, since it uses less digits than its factorization.

2976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 2976960 is about 1725.3869131299. The cubic root of 2976960 is about 143.8547918945.

The spelling of 2976960 in words is "two million, nine hundred seventy-six thousand, nine hundred sixty".