166974000 has 160 divisors (see below), whose sum is σ = 570338496. Its totient is φ = 41881600.

The previous prime is 166973999. The next prime is 166974011. The reversal of 166974000 is 479661.

It is a happy number.

166974000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101182 + ... + 102818.

Almost surely, 2^166974000 is an apocalyptic number.

166974000 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 166974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285169248).

166974000 is an abundant number, since it is smaller than the sum of its proper divisors (403364496).

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

166974000 is a wasteful number, since it uses less digits than its factorization.

166974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 166974000 is about 12921.8419739602. The cubic root of 166974000 is about 550.6592645448.

The spelling of 166974000 in words is "one hundred sixty-six million, nine hundred seventy-four thousand".