165644838 has 112 divisors (see below), whose sum is σ = 406543536. Its totient is φ = 50388480.

The previous prime is 165644807. The next prime is 165644849. The reversal of 165644838 is 838446561.

165644838 is a `hidden beast` number, since 1 + 6 + 564 + 4 + 83 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165644793 and 165644802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1016145 + ... + 1016307.

It is an arithmetic number, because the mean of its divisors is an integer number (3629853).

Almost surely, 2^165644838 is an apocalyptic number.

165644838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165644838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203271768).

165644838 is an abundant number, since it is smaller than the sum of its proper divisors (240898698).

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

165644838 is a wasteful number, since it uses less digits than its factorization.

165644838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 165644838 is about 12870.3083879136. The cubic root of 165644838 is about 549.1942338796.

The spelling of 165644838 in words is "one hundred sixty-five million, six hundred forty-four thousand, eight hundred thirty-eight".