85636096 has 88 divisors (see below), whose sum is σ = 210922880. Its totient is φ = 33841152.

The previous prime is 85636087. The next prime is 85636127. The reversal of 85636096 is 69063658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92725 + ... + 93643.

Almost surely, 2^85636096 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 85636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105461440).

85636096 is an abundant number, since it is smaller than the sum of its proper divisors (125286784).

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

85636096 is a wasteful number, since it uses less digits than its factorization.

85636096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 85636096 is about 9253.9773070826. The cubic root of 85636096 is about 440.7770291817. Note that the first 3 decimals are identical.

The spelling of 85636096 in words is "eighty-five million, six hundred thirty-six thousand, ninety-six".