32680768 has 42 divisors (see below), whose sum is σ = 66829686. Its totient is φ = 15856128.

The previous prime is 32680763. The next prime is 32680771. The reversal of 32680768 is 86708623.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19079424 + 13601344 = 4368^2 + 3688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32680768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32680763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87430 + ... + 87802.

It is an arithmetic number, because the mean of its divisors is an integer number (1591183).

Almost surely, 2^32680768 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 32680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33414843).

32680768 is an abundant number, since it is smaller than the sum of its proper divisors (34148918).

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

32680768 is an equidigital number, since it uses as much as digits as its factorization.

32680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 32680768 is about 5716.7095430851. The cubic root of 32680768 is about 319.7157893173.

The spelling of 32680768 in words is "thirty-two million, six hundred eighty thousand, seven hundred sixty-eight".