32786960 has 80 divisors (see below), whose sum is σ = 80780544. Its totient is φ = 12350976.

The previous prime is 32786959. The next prime is 32786969. The reversal of 32786960 is 6968723.

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 (32786969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189434 + ... + 189606.

Almost surely, 2^32786960 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 32786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40390272).

32786960 is an abundant number, since it is smaller than the sum of its proper divisors (47993584).

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

32786960 is a wasteful number, since it uses less digits than its factorization.

32786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 32786960 is about 5725.9898707560. The cubic root of 32786960 is about 320.0617068501.

The spelling of 32786960 in words is "thirty-two million, seven hundred eighty-six thousand, nine hundred sixty".