85647456 has 120 divisors (see below), whose sum is σ = 254669184. Its totient is φ = 28235520.

The previous prime is 85647449. The next prime is 85647461. The reversal of 85647456 is 65474658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 448321 + ... + 448511.

Almost surely, 2^85647456 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 85647456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127334592).

85647456 is an abundant number, since it is smaller than the sum of its proper divisors (169021728).

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

85647456 is a wasteful number, since it uses less digits than its factorization.

85647456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 85647456 is about 9254.5910768656. The cubic root of 85647456 is about 440.7965186489.

The spelling of 85647456 in words is "eighty-five million, six hundred forty-seven thousand, four hundred fifty-six".