166382688 has 72 divisors (see below), whose sum is σ = 445872168. Its totient is φ = 54326272.

The previous prime is 166382681. The next prime is 166382701. The reversal of 166382688 is 886283661.

It is a super-2 number, since 2×166382688² = 55366397732210688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166382681) 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 11 ways as a sum of consecutive naturals, for example, 269356 + ... + 269972.

It is an arithmetic number, because the mean of its divisors is an integer number (6192669).

Almost surely, 2^166382688 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 166382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222936084).

166382688 is an abundant number, since it is smaller than the sum of its proper divisors (279489480).

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

166382688 is an equidigital number, since it uses as much as digits as its factorization.

166382688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 675 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 166382688 is about 12898.9413519095. The cubic root of 166382688 is about 550.0084714949.

The spelling of 166382688 in words is "one hundred sixty-six million, three hundred eighty-two thousand, six hundred eighty-eight".