166489344 has 360 divisors, whose sum is σ = 601491968. Its totient is φ = 44789760.

The previous prime is 166489333. The next prime is 166489423. The reversal of 166489344 is 443984661.

166489344 is a `hidden beast` number, since 166 + 489 + 3 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 166489344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4499694 + ... + 4499730.

Almost surely, 2^166489344 is an apocalyptic number.

166489344 is a gapful number since it is divisible by the number (14) 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 166489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300745984).

166489344 is an abundant number, since it is smaller than the sum of its proper divisors (435002624).

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

166489344 is an equidigital number, since it uses as much as digits as its factorization.

166489344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 166489344 is about 12903.0749823443. The cubic root of 166489344 is about 550.1259700441.

The spelling of 166489344 in words is "one hundred sixty-six million, four hundred eighty-nine thousand, three hundred forty-four".