2996832 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 898560.

The previous prime is 2996827. The next prime is 2996857. The reversal of 2996832 is 2386992.

2996832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (46656) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56518 + ... + 56570.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2996832 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 2996832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2996832 is an abundant number, since it is smaller than the sum of its proper divisors (5712288).

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

2996832 is a wasteful number, since it uses less digits than its factorization.

2996832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 2996832 is about 1731.1360431809. The cubic root of 2996832 is about 144.1741719653.

It can be divided in two parts, 2996 and 832, that added together give a triangular number (3828 = T₈₇).

The spelling of 2996832 in words is "two million, nine hundred ninety-six thousand, eight hundred thirty-two".