32387680 has 96 divisors (see below), whose sum is σ = 86111424. Its totient is φ = 11421696.

The previous prime is 32387659. The next prime is 32387681. The reversal of 32387680 is 8678323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32387681) 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, 47502 + ... + 48178.

It is an arithmetic number, because the mean of its divisors is an integer number (896994).

Almost surely, 2^32387680 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 32387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43055712).

32387680 is an abundant number, since it is smaller than the sum of its proper divisors (53723744).

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

32387680 is a wasteful number, since it uses less digits than its factorization.

32387680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 32387680 is about 5691.0174837194. The cubic root of 32387680 is about 318.7571583680.

The spelling of 32387680 in words is "thirty-two million, three hundred eighty-seven thousand, six hundred eighty".