160084080 has 160 divisors (see below), whose sum is σ = 593920320. Its totient is φ = 39398400.

The previous prime is 160084061. The next prime is 160084081. The reversal of 160084080 is 80480061.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160084081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25230 + ... + 30930.

It is an arithmetic number, because the mean of its divisors is an integer number (3712002).

Almost surely, 2^160084080 is an apocalyptic number.

160084080 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 160084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296960160).

160084080 is an abundant number, since it is smaller than the sum of its proper divisors (433836240).

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

160084080 is a wasteful number, since it uses less digits than its factorization.

160084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 160084080 is about 12652.4337579772. The cubic root of 160084080 is about 542.9786017635.

The spelling of 160084080 in words is "one hundred sixty million, eighty-four thousand, eighty".