85091280 has 80 divisors (see below), whose sum is σ = 272315904. Its totient is φ = 21957120.

The previous prime is 85091269. The next prime is 85091297. The reversal of 85091280 is 8219058.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 1722 + ... + 13158.

Almost surely, 2^85091280 is an apocalyptic number.

85091280 is a gapful number since it is divisible by the number (80) 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 85091280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136157952).

85091280 is an abundant number, since it is smaller than the sum of its proper divisors (187224624).

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

85091280 is a wasteful number, since it uses less digits than its factorization.

85091280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 85091280 is about 9224.4934820292. The cubic root of 85091280 is about 439.8403001700.

The spelling of 85091280 in words is "eighty-five million, ninety-one thousand, two hundred eighty".