2816832 has 56 divisors (see below), whose sum is σ = 7900416. Its totient is φ = 882688.

The previous prime is 2816831. The next prime is 2816839. The reversal of 2816832 is 2386182.

2816832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2816832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816831) 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 7 ways as a sum of consecutive naturals, for example, 2833 + ... + 3695.

2^2816832 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 2816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950208).

2816832 is an abundant number, since it is smaller than the sum of its proper divisors (5083584).

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

2816832 is a wasteful number, since it uses less digits than its factorization.

2816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 885 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2816832 is about 1678.3420390373. The cubic root of 2816832 is about 141.2278394764.

The spelling of 2816832 in words is "two million, eight hundred sixteen thousand, eight hundred thirty-two".