32789680 has 80 divisors (see below), whose sum is σ = 95065344. Its totient is φ = 10218240.

The previous prime is 32789671. The next prime is 32789681. The reversal of 32789680 is 8698723.

32789680 = 506² + 507² + ... + 610².

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

It is a super-2 number, since 2×32789680² = 2150326229004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32789681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3499 + ... + 8821.

Almost surely, 2^32789680 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 32789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47532672).

32789680 is an abundant number, since it is smaller than the sum of its proper divisors (62275664).

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

32789680 is a wasteful number, since it uses less digits than its factorization.

32789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 32789680 is about 5726.2273793485. The cubic root of 32789680 is about 320.0705573582.

The spelling of 32789680 in words is "thirty-two million, seven hundred eighty-nine thousand, six hundred eighty".