32840720 has 80 divisors (see below), whose sum is σ = 84691008. Its totient is φ = 11742720.

The previous prime is 32840707. The next prime is 32840741. The reversal of 32840720 is 2704823.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 32840720.

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 15 ways as a sum of consecutive naturals, for example, 58682 + ... + 59238.

Almost surely, 2^32840720 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 32840720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42345504).

32840720 is an abundant number, since it is smaller than the sum of its proper divisors (51850288).

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

32840720 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (32840719) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (642).

32840720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 32840720 is about 5730.6823328466. The cubic root of 32840720 is about 320.2365438538.

The spelling of 32840720 in words is "thirty-two million, eight hundred forty thousand, seven hundred twenty".