166470120 has 128 divisors (see below), whose sum is σ = 587606400. Its totient is φ = 41776128.

The previous prime is 166470091. The next prime is 166470133. The reversal of 166470120 is 21074661.

166470120 is a `hidden beast` number, since 1 + 6 + 647 + 0 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13827 + ... + 22893.

It is an arithmetic number, because the mean of its divisors is an integer number (4590675).

Almost surely, 2^166470120 is an apocalyptic number.

166470120 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 166470120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293803200).

166470120 is an abundant number, since it is smaller than the sum of its proper divisors (421136280).

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

166470120 is a wasteful number, since it uses less digits than its factorization.

166470120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 166470120 is about 12902.3300221317. The cubic root of 166470120 is about 550.1047954583.

The spelling of 166470120 in words is "one hundred sixty-six million, four hundred seventy thousand, one hundred twenty".