165207816 has 64 divisors (see below), whose sum is σ = 460339200. Its totient is φ = 54897984.

The previous prime is 165207811. The next prime is 165207817. The reversal of 165207816 is 618702561.

165207816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (165207811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81730 + ... + 83726.

It is an arithmetic number, because the mean of its divisors is an integer number (7192800).

Almost surely, 2^165207816 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 165207816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230169600).

165207816 is an abundant number, since it is smaller than the sum of its proper divisors (295131384).

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

165207816 is a wasteful number, since it uses less digits than its factorization.

165207816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 165207816 is about 12853.3192600200. The cubic root of 165207816 is about 548.7108274367.

It can be divided in two parts, 16520 and 7816, that added together give a square (24336 = 156²).

The spelling of 165207816 in words is "one hundred sixty-five million, two hundred seven thousand, eight hundred sixteen".