85395456 has 144 divisors (see below), whose sum is σ = 254889180. Its totient is φ = 27525120.

The previous prime is 85395449. The next prime is 85395467. The reversal of 85395456 is 65459358.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 27878400 = 7584^2 + 5280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 755656 + ... + 755768.

Almost surely, 2^85395456 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 85395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127444590).

85395456 is an abundant number, since it is smaller than the sum of its proper divisors (169493724).

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

85395456 is a wasteful number, since it uses less digits than its factorization.

85395456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 85395456 is about 9240.9661832516. The cubic root of 85395456 is about 440.3637762948.

The spelling of 85395456 in words is "eighty-five million, three hundred ninety-five thousand, four hundred fifty-six".