165648000 has 512 divisors, whose sum is σ = 687398400. Its totient is φ = 34406400.

The previous prime is 165647959. The next prime is 165648011. The reversal of 165648000 is 846561.

165648000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×165648000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5711986 + ... + 5712014.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^165648000 is an apocalyptic number.

165648000 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 165648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

165648000 is an abundant number, since it is smaller than the sum of its proper divisors (521750400).

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

165648000 is a wasteful number, since it uses less digits than its factorization.

165648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 165648000 is about 12870.4312282068. The cubic root of 165648000 is about 549.1977283866.

The spelling of 165648000 in words is "one hundred sixty-five million, six hundred forty-eight thousand".