66081792 has 132 divisors (see below), whose sum is σ = 205355040. Its totient is φ = 18837504.

The previous prime is 66081779. The next prime is 66081793. The reversal of 66081792 is 29718066.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 66081792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66081793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150309 + ... + 150747.

It is an arithmetic number, because the mean of its divisors is an integer number (1555720).

Almost surely, 2^66081792 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 66081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102677520).

66081792 is an abundant number, since it is smaller than the sum of its proper divisors (139273248).

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

66081792 is a wasteful number, since it uses less digits than its factorization.

66081792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 66081792 is about 8129.0707956076. The cubic root of 66081792 is about 404.2908730997.

The spelling of 66081792 in words is "sixty-six million, eighty-one thousand, seven hundred ninety-two".