66701584 has 40 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 31891200.

The previous prime is 66701573. The next prime is 66701597. The reversal of 66701584 is 48510766.

66701584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43389 + ... + 44899.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^66701584 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 66701584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

66701584 is an abundant number, since it is smaller than the sum of its proper divisors (68289776).

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

66701584 is a wasteful number, since it uses less digits than its factorization.

66701584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 66701584 is about 8167.1037706154. The cubic root of 66701584 is about 405.5509121074.

The spelling of 66701584 in words is "sixty-six million, seven hundred one thousand, five hundred eighty-four".