165984320 has 56 divisors (see below), whose sum is σ = 397407384. Its totient is φ = 66031616.

The previous prime is 165984317. The next prime is 165984341. The reversal of 165984320 is 23489561.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32535616 + 133448704 = 5704^2 + 11552^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61724 + ... + 64356.

Almost surely, 2^165984320 is an apocalyptic number.

165984320 is a gapful number since it is divisible by the number (10) 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 165984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198703692).

165984320 is an abundant number, since it is smaller than the sum of its proper divisors (231423064).

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

165984320 is a wasteful number, since it uses less digits than its factorization.

165984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 165984320 is about 12883.4902103428. The cubic root of 165984320 is about 549.5691612161.

The spelling of 165984320 in words is "one hundred sixty-five million, nine hundred eighty-four thousand, three hundred twenty".