166111680 has 224 divisors, whose sum is σ = 634959360. Its totient is φ = 35942400.

The previous prime is 166111667. The next prime is 166111691. The reversal of 166111680 is 86111661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127030 + ... + 128330.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2^166111680 is an apocalyptic number.

166111680 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 166111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

166111680 is an abundant number, since it is smaller than the sum of its proper divisors (468847680).

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

166111680 is a wasteful number, since it uses less digits than its factorization.

166111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 166111680 is about 12888.4320225542. The cubic root of 166111680 is about 549.7096870080.

The spelling of 166111680 in words is "one hundred sixty-six million, one hundred eleven thousand, six hundred eighty".