166849344 has 42 divisors (see below), whose sum is σ = 478245170. Its totient is φ = 55616256.

The previous prime is 166849327. The next prime is 166849349. The reversal of 166849344 is 443948661.

166849344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 166719744 + 129600 = 12912^2 + 360^2 .

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

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 166849344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166849349) 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, 144259 + ... + 145410.

Almost surely, 2^166849344 is an apocalyptic number.

It is an amenable number.

166849344 is an abundant number, since it is smaller than the sum of its proper divisors (311395826).

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

166849344 is a wasteful number, since it uses less digits than its factorization.

166849344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289687 (or 289674 counting only the distinct ones).

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

The square root of 166849344 is about 12917.0176124367. The cubic root of 166849344 is about 550.5221971563.

The spelling of 166849344 in words is "one hundred sixty-six million, eight hundred forty-nine thousand, three hundred forty-four".