2965968 has 60 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 963648.

The previous prime is 2965961. The next prime is 2965979. The reversal of 2965968 is 8695692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965961) 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, 5953 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (141856).

2^2965968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

2965968 is an abundant number, since it is smaller than the sum of its proper divisors (5545392).

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

2965968 is a wasteful number, since it uses less digits than its factorization.

2965968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2965968 is about 1722.1985948200. The cubic root of 2965968 is about 143.6775190998.

The spelling of 2965968 in words is "two million, nine hundred sixty-five thousand, nine hundred sixty-eight".