165924000 has 288 divisors, whose sum is σ = 643930560. Its totient is φ = 40128000.

The previous prime is 165923999. The next prime is 165924013. The reversal of 165924000 is 429561.

165924000 is a `hidden beast` number, since 1 + 659 + 2 + 4 + 0 + 0 + 0 = 666.

165924000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395791 + ... + 396209.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^165924000 is an apocalyptic number.

165924000 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 165924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

165924000 is an abundant number, since it is smaller than the sum of its proper divisors (478006560).

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

165924000 is a wasteful number, since it uses less digits than its factorization.

165924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 165924000 is about 12881.1490170714. The cubic root of 165924000 is about 549.5025805730.

The spelling of 165924000 in words is "one hundred sixty-five million, nine hundred twenty-four thousand".