66592416 has 96 divisors (see below), whose sum is σ = 200793600. Its totient is φ = 19111680.

The previous prime is 66592403. The next prime is 66592441. The reversal of 66592416 is 61429566.

66592416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18405 + ... + 21723.

It is an arithmetic number, because the mean of its divisors is an integer number (2091600).

Almost surely, 2^66592416 is an apocalyptic number.

66592416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66592416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100396800).

66592416 is an abundant number, since it is smaller than the sum of its proper divisors (134201184).

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

66592416 is a wasteful number, since it uses less digits than its factorization.

66592416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3354 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 66592416 is about 8160.4176363713. The cubic root of 66592416 is about 405.3295412657.

The spelling of 66592416 in words is "sixty-six million, five hundred ninety-two thousand, four hundred sixteen".