165031668 has 60 divisors (see below), whose sum is σ = 435476580. Its totient is φ = 54494208.

The previous prime is 165031667. The next prime is 165031679. The reversal of 165031668 is 866130561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140707044 + 24324624 = 11862^2 + 4932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165031667) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32980 + ... + 37652.

It is an arithmetic number, because the mean of its divisors is an integer number (7257943).

Almost surely, 2^165031668 is an apocalyptic number.

165031668 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 165031668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217738290).

165031668 is an abundant number, since it is smaller than the sum of its proper divisors (270444912).

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

165031668 is a wasteful number, since it uses less digits than its factorization.

165031668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165031668 is about 12846.4651947530. The cubic root of 165031668 is about 548.5157424641.

The spelling of 165031668 in words is "one hundred sixty-five million, thirty-one thousand, six hundred sixty-eight".