85960896 has 84 divisors (see below), whose sum is σ = 264599928. Its totient is φ = 24557568.

The previous prime is 85960877. The next prime is 85960939. The reversal of 85960896 is 69806958.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×85960896² = 14778551282245632, which contains 22 as substring.

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, 4840 + ... + 13976.

Almost surely, 2^85960896 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 85960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132299964).

85960896 is an abundant number, since it is smaller than the sum of its proper divisors (178639032).

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

85960896 is a wasteful number, since it uses less digits than its factorization.

85960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 85960896 is about 9271.5099093945. The cubic root of 85960896 is about 441.3335848420. Note that the first 3 decimals are identical.

The spelling of 85960896 in words is "eighty-five million, nine hundred sixty thousand, eight hundred ninety-six".