32830720 has 72 divisors (see below), whose sum is σ = 84731976. Its totient is φ = 12115968.

The previous prime is 32830669. The next prime is 32830747. The reversal of 32830720 is 2703823.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 32809984 = 144^2 + 5728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15654 + ... + 17626.

It is an arithmetic number, because the mean of its divisors is an integer number (1176833).

Almost surely, 2^32830720 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 32830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42365988).

32830720 is an abundant number, since it is smaller than the sum of its proper divisors (51901256).

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

32830720 is a wasteful number, since it uses less digits than its factorization.

32830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 32830720 is about 5729.8097699662. The cubic root of 32830720 is about 320.2040365424.

The spelling of 32830720 in words is "thirty-two million, eight hundred thirty thousand, seven hundred twenty".