85756896 has 72 divisors (see below), whose sum is σ = 247272480. Its totient is φ = 28187136.

The previous prime is 85756889. The next prime is 85756901. The reversal of 85756896 is 69865758.

85756896 is a `hidden beast` number, since 8 + 575 + 68 + 9 + 6 = 666.

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

It is a congruent number.

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, 18985 + ... + 23063.

It is an arithmetic number, because the mean of its divisors is an integer number (3434340).

Almost surely, 2^85756896 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 85756896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123636240).

85756896 is an abundant number, since it is smaller than the sum of its proper divisors (161515584).

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

85756896 is a wasteful number, since it uses less digits than its factorization.

85756896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4157 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 85756896 is about 9260.5019302411. The cubic root of 85756896 is about 440.9841881199.

The spelling of 85756896 in words is "eighty-five million, seven hundred fifty-six thousand, eight hundred ninety-six".