32830880 has 48 divisors (see below), whose sum is σ = 77905800. Its totient is φ = 13074432.

The previous prime is 32830849. The next prime is 32830901. The reversal of 32830880 is 8803823.

It can be written as a sum of positive squares in 4 ways, for example, as 31494544 + 1336336 = 5612^2 + 1156^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 71612 + ... + 72068.

Almost surely, 2^32830880 is an apocalyptic number.

It is an amenable number.

32830880 is an abundant number, since it is smaller than the sum of its proper divisors (45074920).

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

32830880 is a wasteful number, since it uses less digits than its factorization.

32830880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 32830880 is about 5729.8237320183. The cubic root of 32830880 is about 320.2045567114.

The spelling of 32830880 in words is "thirty-two million, eight hundred thirty thousand, eight hundred eighty".