32964416 has 28 divisors (see below), whose sum is σ = 67673220. Its totient is φ = 15912960.

The previous prime is 32964413. The next prime is 32964431. The reversal of 32964416 is 61446923.

It can be written as a sum of positive squares in 2 ways, for example, as 14440000 + 18524416 = 3800^2 + 4304^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32964413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7025 + ... + 10736.

Almost surely, 2^32964416 is an apocalyptic number.

It is an amenable number.

32964416 is an abundant number, since it is smaller than the sum of its proper divisors (34708804).

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

32964416 is a wasteful number, since it uses less digits than its factorization.

32964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17802 (or 17792 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 32964416 is about 5741.4646215056. The cubic root of 32964416 is about 320.6381017360.

The spelling of 32964416 in words is "thirty-two million, nine hundred sixty-four thousand, four hundred sixteen".