165990384 has 280 divisors, whose sum is σ = 585498240. Its totient is φ = 44509824.

The previous prime is 165990373. The next prime is 165990401. The reversal of 165990384 is 483099561.

It is a happy number.

It is a super-3 number, since 3×165990384³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1551259 + ... + 1551365.

Almost surely, 2^165990384 is an apocalyptic number.

165990384 is a gapful number since it is divisible by the number (14) 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 165990384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292749120).

165990384 is an abundant number, since it is smaller than the sum of its proper divisors (419507856).

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

165990384 is a wasteful number, since it uses less digits than its factorization.

165990384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

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

The square root of 165990384 is about 12883.7255481479. The cubic root of 165990384 is about 549.5758537093.

The spelling of 165990384 in words is "one hundred sixty-five million, nine hundred ninety thousand, three hundred eighty-four".