166082880 has 112 divisors (see below), whose sum is σ = 532327104. Its totient is φ = 43868160.

The previous prime is 166082879. The next prime is 166082887. The reversal of 166082880 is 88280661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166082887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107715 + ... + 109245.

Almost surely, 2^166082880 is an apocalyptic number.

166082880 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 166082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266163552).

166082880 is an abundant number, since it is smaller than the sum of its proper divisors (366244224).

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

166082880 is a wasteful number, since it uses less digits than its factorization.

166082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 166082880 is about 12887.3146931391. The cubic root of 166082880 is about 549.6779161054.

The spelling of 166082880 in words is "one hundred sixty-six million, eighty-two thousand, eight hundred eighty".