166007808 has 66 divisors (see below), whose sum is σ = 479370554. Its totient is φ = 55332864.

The previous prime is 166007801. The next prime is 166007827. The reversal of 166007808 is 808700661.

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 2985984 = 12768^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166007801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210 + ... + 18222.

Almost surely, 2^166007808 is an apocalyptic number.

166007808 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 166007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239685277).

166007808 is an abundant number, since it is smaller than the sum of its proper divisors (313362746).

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

166007808 is a wasteful number, since it uses less digits than its factorization.

166007808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18039 (or 18018 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 166007808 is about 12884.4017323273. The cubic root of 166007808 is about 549.5950826839.

The spelling of 166007808 in words is "one hundred sixty-six million, seven thousand, eight hundred eight".