2832320 has 56 divisors (see below), whose sum is σ = 6912864. Its totient is φ = 1104896.

The previous prime is 2832287. The next prime is 2832329. The reversal of 2832320 is 232382.

It is a happy number.

2832320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2832292 and 2832301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832329) 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, 16877 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (123444).

2^2832320 is an apocalyptic number.

2832320 is a gapful number since it is divisible by the number (20) 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 2832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432).

2832320 is an abundant number, since it is smaller than the sum of its proper divisors (4080544).

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

2832320 is a wasteful number, since it uses less digits than its factorization.

2832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2832320 is about 1682.9497912891. The cubic root of 2832320 is about 141.4862077481.

The spelling of 2832320 in words is "two million, eight hundred thirty-two thousand, three hundred twenty".