166409980 has 96 divisors (see below), whose sum is σ = 411505920. Its totient is φ = 55872000.

The previous prime is 166409963. The next prime is 166410029. The reversal of 166409980 is 89904661.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 170895 + ... + 171865.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2^166409980 is an apocalyptic number.

166409980 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 166409980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

166409980 is an abundant number, since it is smaller than the sum of its proper divisors (245095940).

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

166409980 is a wasteful number, since it uses less digits than its factorization.

166409980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 166409980 is about 12899.9992248062. Note that the first 3 decimals coincide. The cubic root of 166409980 is about 550.0385427535.

The spelling of 166409980 in words is "one hundred sixty-six million, four hundred nine thousand, nine hundred eighty".