32627680 has 48 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 12833280.

The previous prime is 32627671. The next prime is 32627681. The reversal of 32627680 is 8672623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32627681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8089 + ... + 11431.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^32627680 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 32627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

32627680 is an abundant number, since it is smaller than the sum of its proper divisors (45742304).

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

32627680 is a wasteful number, since it uses less digits than its factorization.

32627680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 32627680 is about 5712.0644254070. The cubic root of 32627680 is about 319.5425756124.

The spelling of 32627680 in words is "thirty-two million, six hundred twenty-seven thousand, six hundred eighty".