166066336 has 36 divisors (see below), whose sum is σ = 347325678. Its totient is φ = 78144512.

The previous prime is 166066309. The next prime is 166066357. The reversal of 166066336 is 633660661.

166066336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 152670736 + 13395600 = 12356^2 + 3660^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166066295 and 166066304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270 + ... + 18226.

Almost surely, 2^166066336 is an apocalyptic number.

166066336 is a gapful number since it is divisible by the number (16) 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 166066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173662839).

166066336 is an abundant number, since it is smaller than the sum of its proper divisors (181259342).

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

166066336 is a wasteful number, since it uses less digits than its factorization.

166066336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18001 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 166066336 is about 12886.6728056547. The cubic root of 166066336 is about 549.6596638259.

The spelling of 166066336 in words is "one hundred sixty-six million, sixty-six thousand, three hundred thirty-six".