2966964 has 144 divisors (see below), whose sum is σ = 9838080. Its totient is φ = 673920.

The previous prime is 2966963. The next prime is 2966981. The reversal of 2966964 is 4696692.

2966964 = 67² + 68² + ... + 209².

2966964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156147 + ... + 156165.

It is an arithmetic number, because the mean of its divisors is an integer number (68320).

2^2966964 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 2966964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919040).

2966964 is an abundant number, since it is smaller than the sum of its proper divisors (6871116).

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

2966964 is a wasteful number, since it uses less digits than its factorization.

2966964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 2966964 is about 1722.4877358054. The cubic root of 2966964 is about 143.6936000547.

It can be divided in two parts, 296 and 6964, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 2966964 in words is "two million, nine hundred sixty-six thousand, nine hundred sixty-four".