166834980 has 144 divisors (see below), whose sum is σ = 552202560. Its totient is φ = 40525056.

The previous prime is 166834979. The next prime is 166835021. The reversal of 166834980 is 89438661.

166834980 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 Harshad number since it is a multiple of its sum of digits (45).

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, 193791 + ... + 194649.

It is an arithmetic number, because the mean of its divisors is an integer number (3834740).

Almost surely, 2^166834980 is an apocalyptic number.

166834980 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 166834980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276101280).

166834980 is an abundant number, since it is smaller than the sum of its proper divisors (385367580).

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

166834980 is a wasteful number, since it uses less digits than its factorization.

166834980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 166834980 is about 12916.4615897699. The cubic root of 166834980 is about 550.5063986169.

The spelling of 166834980 in words is "one hundred sixty-six million, eight hundred thirty-four thousand, nine hundred eighty".