165410256 has 80 divisors (see below), whose sum is σ = 467827200. Its totient is φ = 49944960.

The previous prime is 165410251. The next prime is 165410263. The reversal of 165410256 is 652014561.

165410256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165410251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275845 + ... + 276443.

It is an arithmetic number, because the mean of its divisors is an integer number (5847840).

Almost surely, 2^165410256 is an apocalyptic number.

165410256 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 165410256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233913600).

165410256 is an abundant number, since it is smaller than the sum of its proper divisors (302416944).

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

165410256 is a wasteful number, since it uses less digits than its factorization.

165410256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 165410256 is about 12861.1918576779. The cubic root of 165410256 is about 548.9348597734.

The spelling of 165410256 in words is "one hundred sixty-five million, four hundred ten thousand, two hundred fifty-six".