165500160 has 288 divisors, whose sum is σ = 621637632. Its totient is φ = 36741120.

The previous prime is 165500143. The next prime is 165500161. The reversal of 165500160 is 61005561.

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 165500160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165500161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263295 + ... + 1263425.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 2^165500160 is an apocalyptic number.

165500160 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 165500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310818816).

165500160 is an abundant number, since it is smaller than the sum of its proper divisors (456137472).

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

165500160 is a wasteful number, since it uses less digits than its factorization.

165500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

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

The square root of 165500160 is about 12864.6865488437. The cubic root of 165500160 is about 549.0342943597.

The spelling of 165500160 in words is "one hundred sixty-five million, five hundred thousand, one hundred sixty".