85078656 has 288 divisors, whose sum is σ = 291189600. Its totient is φ = 23721984.

The previous prime is 85078549. The next prime is 85078673. The reversal of 85078656 is 65687058.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3699061 + ... + 3699083.

It is an arithmetic number, because the mean of its divisors is an integer number (1011075).

Almost surely, 2^85078656 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 85078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145594800).

85078656 is an abundant number, since it is smaller than the sum of its proper divisors (206110944).

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

85078656 is a wasteful number, since it uses less digits than its factorization.

85078656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 85078656 is about 9223.8091914350. The cubic root of 85078656 is about 439.8185477705.

The spelling of 85078656 in words is "eighty-five million, seventy-eight thousand, six hundred fifty-six".