165005160 has 32 divisors (see below), whose sum is σ = 495015840. Its totient is φ = 44001344.

The previous prime is 165005143. The next prime is 165005161. The reversal of 165005160 is 61500561.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 165005160.

It is not an unprimeable number, because it can be changed into a prime (165005161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687402 + ... + 687641.

It is an arithmetic number, because the mean of its divisors is an integer number (15469245).

Almost surely, 2^165005160 is an apocalyptic number.

165005160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165005160 is an abundant number, since it is smaller than the sum of its proper divisors (330010680).

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

165005160 is a wasteful number, since it uses less digits than its factorization.

165005160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375057 (or 1375053 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 165005160 is about 12845.4334298224. The cubic root of 165005160 is about 548.4863726790.

The spelling of 165005160 in words is "one hundred sixty-five million, five thousand, one hundred sixty".