2996964 has 72 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 913152.

The previous prime is 2996933. The next prime is 2997011. The reversal of 2996964 is 4696992.

2996964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36067 + ... + 36149.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

2^2996964 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 2996964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2996964 is an abundant number, since it is smaller than the sum of its proper divisors (5258556).

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

2996964 is a wasteful number, since it uses less digits than its factorization.

2996964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 2996964 is about 1731.1741680143. The cubic root of 2996964 is about 144.1762887241.

The spelling of 2996964 in words is "two million, nine hundred ninety-six thousand, nine hundred sixty-four".