166027680 has 432 divisors, whose sum is σ = 713689704. Its totient is φ = 34836480.

The previous prime is 166027679. The next prime is 166027709. The reversal of 166027680 is 86720661.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 117418896 = 6972^2 + 10836^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917190 + ... + 917370.

Almost surely, 2^166027680 is an apocalyptic number.

166027680 is a gapful number since it is divisible by the number (10) 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 166027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356844852).

166027680 is an abundant number, since it is smaller than the sum of its proper divisors (547662024).

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

166027680 is a wasteful number, since it uses less digits than its factorization.

166027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

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

The square root of 166027680 is about 12885.1728742769. The cubic root of 166027680 is about 549.6170116077.

The spelling of 166027680 in words is "one hundred sixty-six million, twenty-seven thousand, six hundred eighty".