165396816 has 100 divisors (see below), whose sum is σ = 515582452. Its totient is φ = 50886144.

The previous prime is 165396809. The next prime is 165396821. The reversal of 165396816 is 618693561.

It can be written as a sum of positive squares in 2 ways, for example, as 108243216 + 57153600 = 10404^2 + 7560^2 .

It is a super-2 number, since 2×165396816² = 54712213485875712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11940 + ... + 21756.

Almost surely, 2^165396816 is an apocalyptic number.

165396816 is a gapful number since it is divisible by the number (16) 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 165396816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257791226).

165396816 is an abundant number, since it is smaller than the sum of its proper divisors (350185636).

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

165396816 is a wasteful number, since it uses less digits than its factorization.

165396816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9835 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 165396816 is about 12860.6693449447. The cubic root of 165396816 is about 548.9199919239.

The spelling of 165396816 in words is "one hundred sixty-five million, three hundred ninety-six thousand, eight hundred sixteen".