165849008 has 120 divisors (see below), whose sum is σ = 383725440. Its totient is φ = 68935680.

The previous prime is 165849007. The next prime is 165849029. The reversal of 165849008 is 800948561.

165849008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165849007) 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, 1863428 + ... + 1863516.

It is an arithmetic number, because the mean of its divisors is an integer number (3197712).

Almost surely, 2^165849008 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 165849008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191862720).

165849008 is an abundant number, since it is smaller than the sum of its proper divisors (217876432).

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

165849008 is a wasteful number, since it uses less digits than its factorization.

165849008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 165849008 is about 12878.2377676451. The cubic root of 165849008 is about 549.4197826107.

The spelling of 165849008 in words is "one hundred sixty-five million, eight hundred forty-nine thousand, eight".