166034688 has 72 divisors (see below), whose sum is σ = 453915168. Its totient is φ = 53839872.

The previous prime is 166034683. The next prime is 166034689. The reversal of 166034688 is 886430661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166034681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25495 + ... + 31337.

Almost surely, 2^166034688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226957584).

166034688 is an abundant number, since it is smaller than the sum of its proper divisors (287880480).

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

166034688 is an equidigital number, since it uses as much as digits as its factorization.

166034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 166034688 is about 12885.4448118798. Note that the first 3 decimals coincide. The cubic root of 166034688 is about 549.6247445790.

The spelling of 166034688 in words is "one hundred sixty-six million, thirty-four thousand, six hundred eighty-eight".