85627776 has 128 divisors (see below), whose sum is σ = 259610400. Its totient is φ = 24772608.

The previous prime is 85627769. The next prime is 85627799. The reversal of 85627776 is 67772658.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84360 + ... + 85368.

Almost surely, 2^85627776 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 85627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129805200).

85627776 is an abundant number, since it is smaller than the sum of its proper divisors (173982624).

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

85627776 is a wasteful number, since it uses less digits than its factorization.

85627776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1044 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 85627776 is about 9253.5277597249. The cubic root of 85627776 is about 440.7627541122.

The spelling of 85627776 in words is "eighty-five million, six hundred twenty-seven thousand, seven hundred seventy-six".