166684140 has 144 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 37878912.

The previous prime is 166684139. The next prime is 166684159. The reversal of 166684140 is 41486661.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 166684095 and 166684104.

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, 331129 + ... + 331631.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^166684140 is an apocalyptic number.

166684140 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 166684140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

166684140 is an abundant number, since it is smaller than the sum of its proper divisors (414504468).

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

166684140 is a wasteful number, since it uses less digits than its factorization.

166684140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 166684140 is about 12910.6212089117. The cubic root of 166684140 is about 550.3404393689.

The spelling of 166684140 in words is "one hundred sixty-six million, six hundred eighty-four thousand, one hundred forty".