165000064 has 32 divisors (see below), whose sum is σ = 331991640. Its totient is φ = 81676800.

The previous prime is 165000041. The next prime is 165000071. The reversal of 165000064 is 460000561.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×165000064² = 54450042240008192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164999999 and 165000044.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6547 + ... + 19309.

Almost surely, 2^165000064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165995820).

165000064 is an abundant number, since it is smaller than the sum of its proper divisors (166991576).

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

165000064 is a wasteful number, since it uses less digits than its factorization.

165000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878 (or 12866 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 165000064 is about 12845.2350698615. The cubic root of 165000064 is about 548.4807261579.

The spelling of 165000064 in words is "one hundred sixty-five million, sixty-four", and thus it is an aban number.