2832864 has 48 divisors (see below), whose sum is σ = 7765632. Its totient is φ = 902528.

The previous prime is 2832857. The next prime is 2832871. The reversal of 2832864 is 4682382.

2832864 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 (2832857) and next prime (2832871).

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (161784).

2^2832864 is an apocalyptic number.

2832864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882816).

2832864 is an abundant number, since it is smaller than the sum of its proper divisors (4932768).

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

2832864 is a wasteful number, since it uses less digits than its factorization.

2832864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).

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

The square root of 2832864 is about 1683.1114045125. Note that the first 3 decimals coincide. The cubic root of 2832864 is about 141.4952655252.

The spelling of 2832864 in words is "two million, eight hundred thirty-two thousand, eight hundred sixty-four".