85591296 has 288 divisors, whose sum is σ = 304147200. Its totient is φ = 23224320.

The previous prime is 85591283. The next prime is 85591301. The reversal of 85591296 is 69219558.

85591296 is a `hidden beast` number, since 8 + 559 + 1 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403106 + ... + 1403166.

Almost surely, 2^85591296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85591296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152073600).

85591296 is an abundant number, since it is smaller than the sum of its proper divisors (218555904).

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

85591296 is a wasteful number, since it uses less digits than its factorization.

85591296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 85591296 is about 9251.5564095994. The cubic root of 85591296 is about 440.7001525050.

The spelling of 85591296 in words is "eighty-five million, five hundred ninety-one thousand, two hundred ninety-six".