66064384 has 39 divisors (see below), whose sum is σ = 133161087. Its totient is φ = 32772096.

The previous prime is 66064381. The next prime is 66064393. The reversal of 66064384 is 48346066.

66064384 = 1³ + 2³ + ... + 127³.

The square root of 66064384 is 8128.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66064381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 520129 + ... + 520255.

Almost surely, 2^66064384 is an apocalyptic number.

66064384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66064384 is the 8128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66064384

66064384 is an abundant number, since it is smaller than the sum of its proper divisors (67096703).

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

66064384 is an frugal number, since it uses more digits than its factorization.

66064384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The cubic root of 66064384 is about 404.2553690503.

Multiplying 66064384 by its product of nonzero digits (82944), we get a square (5479644266496 = 2340864²).

The spelling of 66064384 in words is "sixty-six million, sixty-four thousand, three hundred eighty-four".