2832720 has 160 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 645120.

The previous prime is 2832719. The next prime is 2832743. The reversal of 2832720 is 272382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76542 + ... + 76578.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2^2832720 is an apocalyptic number.

2832720 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 2832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

2832720 is an abundant number, since it is smaller than the sum of its proper divisors (7345200).

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

2832720 is a wasteful number, since it uses less digits than its factorization.

2832720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2832720 is about 1683.0686260518. The cubic root of 2832720 is about 141.4928679912.

It can be divided in two parts, 283 and 2720, that added together give a palindrome (3003).

The spelling of 2832720 in words is "two million, eight hundred thirty-two thousand, seven hundred twenty".