165844008 has 192 divisors, whose sum is σ = 525657600. Its totient is φ = 46707840.

The previous prime is 165843973. The next prime is 165844031. The reversal of 165844008 is 800448561.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549891 + ... + 1549997.

It is an arithmetic number, because the mean of its divisors is an integer number (2737800).

Almost surely, 2^165844008 is an apocalyptic number.

165844008 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 165844008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262828800).

165844008 is an abundant number, since it is smaller than the sum of its proper divisors (359813592).

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

165844008 is a wasteful number, since it uses less digits than its factorization.

165844008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 165844008 is about 12878.0436402429. The cubic root of 165844008 is about 549.4142612702.

The spelling of 165844008 in words is "one hundred sixty-five million, eight hundred forty-four thousand, eight".