165321468 has 72 divisors (see below), whose sum is σ = 457498496. Its totient is φ = 50025600.

The previous prime is 165321449. The next prime is 165321479. The reversal of 165321468 is 864123561.

It is a happy number.

165321468 is a `hidden beast` number, since 165 + 32 + 1 + 468 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25653 + ... + 31443.

Almost surely, 2^165321468 is an apocalyptic number.

165321468 is a gapful number since it is divisible by the number (18) 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 165321468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228749248).

165321468 is an abundant number, since it is smaller than the sum of its proper divisors (292177028).

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

165321468 is a wasteful number, since it uses less digits than its factorization.

165321468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5870 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 165321468 is about 12857.7396147223. The cubic root of 165321468 is about 548.8366241244.

The spelling of 165321468 in words is "one hundred sixty-five million, three hundred twenty-one thousand, four hundred sixty-eight".