166829670 has 192 divisors, whose sum is σ = 540349056. Its totient is φ = 34836480.

The previous prime is 166829669. The next prime is 166829681. The reversal of 166829670 is 76928661.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396060 + ... + 396480.

It is an arithmetic number, because the mean of its divisors is an integer number (2814318).

Almost surely, 2^166829670 is an apocalyptic number.

166829670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166829670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270174528).

166829670 is an abundant number, since it is smaller than the sum of its proper divisors (373519386).

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

166829670 is a wasteful number, since it uses less digits than its factorization.

166829670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 166829670 is about 12916.2560364836. The cubic root of 166829670 is about 550.5005580752.

The spelling of 166829670 in words is "one hundred sixty-six million, eight hundred twenty-nine thousand, six hundred seventy".