32964768 has 72 divisors (see below), whose sum is σ = 99272628. Its totient is φ = 10340352.

The previous prime is 32964733. The next prime is 32964769. The reversal of 32964768 is 86746923.

It can be written as a sum of positive squares in 2 ways, for example, as 25280784 + 7683984 = 5028^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (32964769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530 + ... + 8262.

Almost surely, 2^32964768 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 32964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49636314).

32964768 is an abundant number, since it is smaller than the sum of its proper divisors (66307860).

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

32964768 is a wasteful number, since it uses less digits than its factorization.

32964768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6755 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 32964768 is about 5741.4952756229. The cubic root of 32964768 is about 320.6392430092.

The spelling of 32964768 in words is "thirty-two million, nine hundred sixty-four thousand, seven hundred sixty-eight".