165070080 has 432 divisors, whose sum is σ = 688746240. Its totient is φ = 35684352.

The previous prime is 165070021. The next prime is 165070093. The reversal of 165070080 is 80070561.

165070080 is a `hidden beast` number, since 1 + 650 + 7 + 0 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×165070080² = 54496262622412800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854676 + ... + 1854764.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 2^165070080 is an apocalyptic number.

165070080 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 165070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

165070080 is an abundant number, since it is smaller than the sum of its proper divisors (523676160).

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

165070080 is a wasteful number, since it uses less digits than its factorization.

165070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 165070080 is about 12847.9601493778. The cubic root of 165070080 is about 548.5582958166.

The spelling of 165070080 in words is "one hundred sixty-five million, seventy thousand, eighty".