85936896 has 72 divisors (see below), whose sum is σ = 254150960. Its totient is φ = 28643328.

The previous prime is 85936891. The next prime is 85936897. The reversal of 85936896 is 69863958.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×85936896² = 14770300188229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85936891) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 696 + ... + 13128.

Almost surely, 2^85936896 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 85936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127075480).

85936896 is an abundant number, since it is smaller than the sum of its proper divisors (168214064).

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

85936896 is a wasteful number, since it uses less digits than its factorization.

85936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 12438 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 85936896 is about 9270.2155314750. The cubic root of 85936896 is about 441.2925080562.

The spelling of 85936896 in words is "eighty-five million, nine hundred thirty-six thousand, eight hundred ninety-six".