166442688 has 140 divisors (see below), whose sum is σ = 499980712. Its totient is φ = 54743040.

The previous prime is 166442611. The next prime is 166442693. The reversal of 166442688 is 886244661.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 502683 + ... + 503013.

Almost surely, 2^166442688 is an apocalyptic number.

166442688 is a gapful number since it is divisible by the number (18) 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 166442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249990356).

166442688 is an abundant number, since it is smaller than the sum of its proper divisors (333538024).

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

166442688 is an equidigital number, since it uses as much as digits as its factorization.

166442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 166442688 is about 12901.2669145321. The cubic root of 166442688 is about 550.0745772151.

The spelling of 166442688 in words is "one hundred sixty-six million, four hundred forty-two thousand, six hundred eighty-eight".