32945680 has 20 divisors (see below), whose sum is σ = 76598892. Its totient is φ = 13178240.

The previous prime is 32945657. The next prime is 32945687. The reversal of 32945680 is 8654923.

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 17073424 = 3984^2 + 4132^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (32945687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205831 + ... + 205990.

Almost surely, 2^32945680 is an apocalyptic number.

It is an amenable number.

32945680 is an abundant number, since it is smaller than the sum of its proper divisors (43653212).

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

32945680 is a wasteful number, since it uses less digits than its factorization.

32945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411834 (or 411828 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 32945680 is about 5739.8327501766. The cubic root of 32945680 is about 320.5773431492.

The spelling of 32945680 in words is "thirty-two million, nine hundred forty-five thousand, six hundred eighty".