32965680 has 80 divisors (see below), whose sum is σ = 111492864. Its totient is φ = 7991040.

The previous prime is 32965661. The next prime is 32965687. The reversal of 32965680 is 8656923.

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

It is not an unprimeable number, because it can be changed into a prime (32965687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604 + ... + 8883.

Almost surely, 2^32965680 is an apocalyptic number.

32965680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32965680 is an abundant number, since it is smaller than the sum of its proper divisors (78527184).

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

32965680 is a wasteful number, since it uses less digits than its factorization.

32965680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 32965680 is about 5741.5746968928. The cubic root of 32965680 is about 320.6421999064.

The spelling of 32965680 in words is "thirty-two million, nine hundred sixty-five thousand, six hundred eighty".