66165792 has 96 divisors (see below), whose sum is σ = 216566784. Its totient is φ = 17184000.

The previous prime is 66165787. The next prime is 66165793. The reversal of 66165792 is 29756166.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (66165793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (2255904).

Almost surely, 2^66165792 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 66165792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108283392).

66165792 is an abundant number, since it is smaller than the sum of its proper divisors (150400992).

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

66165792 is a wasteful number, since it uses less digits than its factorization.

66165792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8974 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 66165792 is about 8134.2357969265. The cubic root of 66165792 is about 404.4621056124.

The spelling of 66165792 in words is "sixty-six million, one hundred sixty-five thousand, seven hundred ninety-two".