165998304 has 72 divisors (see below), whose sum is σ = 487311552. Its totient is φ = 53544960.

The previous prime is 165998303. The next prime is 165998309. The reversal of 165998304 is 403899561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 165998304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165998303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369 + ... + 18224.

It is an arithmetic number, because the mean of its divisors is an integer number (6768216).

Almost surely, 2^165998304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165998304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243655776).

165998304 is an abundant number, since it is smaller than the sum of its proper divisors (321313248).

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

165998304 is a wasteful number, since it uses less digits than its factorization.

165998304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18640 (or 18629 counting only the distinct ones).

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

The square root of 165998304 is about 12884.0329089924. The cubic root of 165998304 is about 549.5845943191.

The spelling of 165998304 in words is "one hundred sixty-five million, nine hundred ninety-eight thousand, three hundred four".