165705080 has 64 divisors (see below), whose sum is σ = 400896000. Its totient is φ = 61444224.

The previous prime is 165705079. The next prime is 165705157. The reversal of 165705080 is 80507561.

165705080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33401 + ... + 38039.

It is an arithmetic number, because the mean of its divisors is an integer number (6264000).

Almost surely, 2^165705080 is an apocalyptic number.

165705080 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 165705080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200448000).

165705080 is an abundant number, since it is smaller than the sum of its proper divisors (235190920).

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

165705080 is a wasteful number, since it uses less digits than its factorization.

165705080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 165705080 is about 12872.6485231284. The cubic root of 165705080 is about 549.2608031119.

The spelling of 165705080 in words is "one hundred sixty-five million, seven hundred five thousand, eighty".