165127560 has 128 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 40320000.

The previous prime is 165127531. The next prime is 165127609. The reversal of 165127560 is 65721561.

165127560 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-2 number, since 2×165127560² = 54534222143107200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235210 + ... + 235910.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^165127560 is an apocalyptic number.

165127560 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 165127560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

165127560 is an abundant number, since it is smaller than the sum of its proper divisors (372660600).

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

165127560 is a wasteful number, since it uses less digits than its factorization.

165127560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 165127560 is about 12850.1968856512. The cubic root of 165127560 is about 548.6219606383.

The spelling of 165127560 in words is "one hundred sixty-five million, one hundred twenty-seven thousand, five hundred sixty".