85294656 has 84 divisors (see below), whose sum is σ = 245754652. Its totient is φ = 28283904.

The previous prime is 85294631. The next prime is 85294669. The reversal of 85294656 is 65649258.

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 33454656 = 7200^2 + 5784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214650 + ... + 215046.

Almost surely, 2^85294656 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 85294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122877326).

85294656 is an abundant number, since it is smaller than the sum of its proper divisors (160459996).

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

85294656 is a wasteful number, since it uses less digits than its factorization.

85294656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 85294656 is about 9235.5105976876. The cubic root of 85294656 is about 440.1904409773.

The spelling of 85294656 in words is "eighty-five million, two hundred ninety-four thousand, six hundred fifty-six".