66964032 has 42 divisors (see below), whose sum is σ = 191941958. Its totient is φ = 22321152.

The previous prime is 66964013. The next prime is 66964033. The reversal of 66964032 is 23046966.

66964032 is a `hidden beast` number, since 6 + 6 + 9 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 22127616 = 6696^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66964033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57553 + ... + 58704.

Almost surely, 2^66964032 is an apocalyptic number.

It is an amenable number.

66964032 is an abundant number, since it is smaller than the sum of its proper divisors (124977926).

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

66964032 is a wasteful number, since it uses less digits than its factorization.

66964032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116275 (or 116262 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66964032 is about 8183.1553816361. The cubic root of 66964032 is about 406.0821175514.

The spelling of 66964032 in words is "sixty-six million, nine hundred sixty-four thousand, thirty-two".