165856896 has 160 divisors (see below), whose sum is σ = 523177380. Its totient is φ = 51978240.

The previous prime is 165856837. The next prime is 165856897. The reversal of 165856896 is 698658561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 7096896 = 12600^2 + 2664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (165856897) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 175786 + ... + 176726.

Almost surely, 2^165856896 is an apocalyptic number.

165856896 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 165856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261588690).

165856896 is an abundant number, since it is smaller than the sum of its proper divisors (357320484).

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

165856896 is an equidigital number, since it uses as much as digits as its factorization.

165856896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 963 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 165856896 is about 12878.5440170852. The cubic root of 165856896 is about 549.4284928518.

The spelling of 165856896 in words is "one hundred sixty-five million, eight hundred fifty-six thousand, eight hundred ninety-six".