66117792 has 96 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 19676160.

The previous prime is 66117791. The next prime is 66117797. The reversal of 66117792 is 29771166.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 66117792.

It is not an unprimeable number, because it can be changed into a prime (66117791) 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, 37834 + ... + 39542.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^66117792 is an apocalyptic number.

66117792 is a gapful number since it is divisible by the number (62) 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 66117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

66117792 is an abundant number, since it is smaller than the sum of its proper divisors (126934368).

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

66117792 is a wasteful number, since it uses less digits than its factorization.

66117792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1758 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 66117792 is about 8131.2847693338. The cubic root of 66117792 is about 404.3642762203.

The spelling of 66117792 in words is "sixty-six million, one hundred seventeen thousand, seven hundred ninety-two".