165006016 has 56 divisors (see below), whose sum is σ = 376549920. Its totient is φ = 70275072.

The previous prime is 165006011. The next prime is 165006019. The reversal of 165006016 is 610600561.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (165006011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 76440 + ... + 78568.

Almost surely, 2^165006016 is an apocalyptic number.

165006016 is a gapful number since it is divisible by the number (16) 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 165006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188274960).

165006016 is an abundant number, since it is smaller than the sum of its proper divisors (211543904).

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

165006016 is a wasteful number, since it uses less digits than its factorization.

165006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 165006016 is about 12845.4667490131. The cubic root of 165006016 is about 548.4873211413.

Adding to 165006016 its reverse (610600561), we get a palindrome (775606577).

The spelling of 165006016 in words is "one hundred sixty-five million, six thousand, sixteen".