166351680 has 336 divisors, whose sum is σ = 641908800. Its totient is φ = 39198720.

The previous prime is 166351609. The next prime is 166351693. The reversal of 166351680 is 86153661.

It is a happy number.

166351680 is a `hidden beast` number, since 1 + 6 + 63 + 516 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869076 + ... + 1869164.

Almost surely, 2^166351680 is an apocalyptic number.

166351680 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 166351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320954400).

166351680 is an abundant number, since it is smaller than the sum of its proper divisors (475557120).

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

166351680 is a wasteful number, since it uses less digits than its factorization.

166351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 166351680 is about 12897.7393367985. The cubic root of 166351680 is about 549.9743018296.

The spelling of 166351680 in words is "one hundred sixty-six million, three hundred fifty-one thousand, six hundred eighty".