32957960 has 64 divisors (see below), whose sum is σ = 87505920. Its totient is φ = 10932480.

The previous prime is 32957959. The next prime is 32957971. The reversal of 32957960 is 6975923.

32957960 = 486² + 487² + ... + 597².

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6782 + ... + 10578.

It is an arithmetic number, because the mean of its divisors is an integer number (1367280).

Almost surely, 2^32957960 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 32957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43752960).

32957960 is an abundant number, since it is smaller than the sum of its proper divisors (54547960).

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

32957960 is a wasteful number, since it uses less digits than its factorization.

32957960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 32957960 is about 5740.9023680951. The cubic root of 32957960 is about 320.6171683075.

The spelling of 32957960 in words is "thirty-two million, nine hundred fifty-seven thousand, nine hundred sixty".