66364032 has 96 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 18955776.

The previous prime is 66364027. The next prime is 66364043. The reversal of 66364032 is 23046366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17053 + ... + 20579.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 2^66364032 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 66364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

66364032 is an abundant number, since it is smaller than the sum of its proper divisors (138753888).

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

66364032 is a wasteful number, since it uses less digits than its factorization.

66364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 66364032 is about 8146.4122164300. The cubic root of 66364032 is about 404.8656405399.

The spelling of 66364032 in words is "sixty-six million, three hundred sixty-four thousand, thirty-two".