66191792 has 80 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 29922816.

The previous prime is 66191791. The next prime is 66191821. The reversal of 66191792 is 29719166.

It is not an unprimeable number, because it can be changed into a prime (66191791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 743684 + ... + 743772.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^66191792 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 66191792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

66191792 is an abundant number, since it is smaller than the sum of its proper divisors (75227728).

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

66191792 is a wasteful number, since it uses less digits than its factorization.

66191792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its digits is 40824, while the sum is 41.

The square root of 66191792 is about 8135.8338232783. The cubic root of 66191792 is about 404.5150767792.

The spelling of 66191792 in words is "sixty-six million, one hundred ninety-one thousand, seven hundred ninety-two".