85127280 has 80 divisors (see below), whose sum is σ = 301599744. Its totient is φ = 19457280.

The previous prime is 85127243. The next prime is 85127281. The reversal of 85127280 is 8272158.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85127281) 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 15 ways as a sum of consecutive naturals, for example, 23656 + ... + 27015.

Almost surely, 2^85127280 is an apocalyptic number.

85127280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85127280 is an abundant number, since it is smaller than the sum of its proper divisors (216472464).

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

85127280 is a wasteful number, since it uses less digits than its factorization.

85127280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50694 (or 50688 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 85127280 is about 9226.4446023373. Note that the first 3 decimals coincide. The cubic root of 85127280 is about 439.9023199144.

The spelling of 85127280 in words is "eighty-five million, one hundred twenty-seven thousand, two hundred eighty".