166638528 has 168 divisors, whose sum is σ = 561128672. Its totient is φ = 46282752.

The previous prime is 166638499. The next prime is 166638529. The reversal of 166638528 is 825836661.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166638529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148626 + ... + 149742.

Almost surely, 2^166638528 is an apocalyptic number.

166638528 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 166638528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280564336).

166638528 is an abundant number, since it is smaller than the sum of its proper divisors (394490144).

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

166638528 is a wasteful number, since it uses less digits than its factorization.

166638528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1166 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 166638528 is about 12908.8546354818. The cubic root of 166638528 is about 550.2902357959.

The spelling of 166638528 in words is "one hundred sixty-six million, six hundred thirty-eight thousand, five hundred twenty-eight".