66802176 has 240 divisors, whose sum is σ = 234062400. Its totient is φ = 17915904.

The previous prime is 66802147. The next prime is 66802187. The reversal of 66802176 is 67120866.

It is a happy number.

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 66802176.

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, 612810 + ... + 612918.

It is an arithmetic number, because the mean of its divisors is an integer number (975260).

Almost surely, 2^66802176 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 66802176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117031200).

66802176 is an abundant number, since it is smaller than the sum of its proper divisors (167260224).

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

66802176 is a wasteful number, since it uses less digits than its factorization.

66802176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 66802176 is about 8173.2598147863. The cubic root of 66802176 is about 405.7546788171.

The spelling of 66802176 in words is "sixty-six million, eight hundred two thousand, one hundred seventy-six".