2864832 has 56 divisors (see below), whose sum is σ = 7778496. Its totient is φ = 930048.

The previous prime is 2864831. The next prime is 2864833. The reversal of 2864832 is 2384682.

2864832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2864831) and next prime (2864833).

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

It is a junction number, because it is equal to n+sod(n) for n = 2864793 and 2864802.

It is not an unprimeable number, because it can be changed into a prime (2864831) 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, 8083 + ... + 8429.

2^2864832 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 2864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889248).

2864832 is an abundant number, since it is smaller than the sum of its proper divisors (4913664).

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

2864832 is a wasteful number, since it uses less digits than its factorization.

2864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2864832 is about 1692.5814603735. The cubic root of 2864832 is about 142.0255194497.

It can be divided in two parts, 28648 and 32, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 2864832 in words is "two million, eight hundred sixty-four thousand, eight hundred thirty-two".