66166056 has 96 divisors (see below), whose sum is σ = 205826400. Its totient is φ = 18990720.

The previous prime is 66166049. The next prime is 66166069. The reversal of 66166056 is 65066166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66166056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12850 + ... + 17246.

It is an arithmetic number, because the mean of its divisors is an integer number (2144025).

Almost surely, 2^66166056 is an apocalyptic number.

66166056 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 66166056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102913200).

66166056 is an abundant number, since it is smaller than the sum of its proper divisors (139660344).

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

66166056 is a wasteful number, since it uses less digits than its factorization.

66166056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66166056 is about 8134.2520246179. The cubic root of 66166056 is about 404.4626435432.

The spelling of 66166056 in words is "sixty-six million, one hundred sixty-six thousand, fifty-six".