165984000 has 576 divisors, whose sum is σ = 714255360. Its totient is φ = 33177600.

The previous prime is 165983963. The next prime is 165984037. The reversal of 165984000 is 489561.

It is an interprime number because it is at equal distance from previous prime (165983963) and next prime (165984037).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8735991 + ... + 8736009.

Almost surely, 2^165984000 is an apocalyptic number.

165984000 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 165984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

165984000 is an abundant number, since it is smaller than the sum of its proper divisors (548271360).

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

165984000 is a wasteful number, since it uses less digits than its factorization.

165984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 165984000 is about 12883.4777913419. The cubic root of 165984000 is about 549.5688080457.

The spelling of 165984000 in words is "one hundred sixty-five million, nine hundred eighty-four thousand".