160414080 has 256 divisors, whose sum is σ = 549331200. Its totient is φ = 39739392.

The previous prime is 160414043. The next prime is 160414087. The reversal of 160414080 is 80414061.

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 160414080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160414087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394207 + ... + 2394273.

It is an arithmetic number, because the mean of its divisors is an integer number (2145825).

Almost surely, 2^160414080 is an apocalyptic number.

160414080 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 160414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274665600).

160414080 is an abundant number, since it is smaller than the sum of its proper divisors (388917120).

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

160414080 is a wasteful number, since it uses less digits than its factorization.

160414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 160414080 is about 12665.4680134609. The cubic root of 160414080 is about 543.3514474078.

The spelling of 160414080 in words is "one hundred sixty million, four hundred fourteen thousand, eighty".