165808000 has 128 divisors (see below), whose sum is σ = 423577440. Its totient is φ = 64512000.

The previous prime is 165807991. The next prime is 165808007. The reversal of 165808000 is 808561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 165808000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165808007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687880 + ... + 688120.

Almost surely, 2^165808000 is an apocalyptic number.

165808000 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 165808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211788720).

165808000 is an abundant number, since it is smaller than the sum of its proper divisors (257769440).

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

165808000 is an equidigital number, since it uses as much as digits as its factorization.

165808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 165808000 is about 12876.6455259124. The cubic root of 165808000 is about 549.3744955069.

The spelling of 165808000 in words is "one hundred sixty-five million, eight hundred eight thousand".