85707456 has 56 divisors (see below), whose sum is σ = 227472240. Its totient is φ = 28480512.

The previous prime is 85707451. The next prime is 85707473. The reversal of 85707456 is 65470758.

It is not an unprimeable number, because it can be changed into a prime (85707451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97290 + ... + 98166.

Almost surely, 2^85707456 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 85707456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113736120).

85707456 is an abundant number, since it is smaller than the sum of its proper divisors (141764784).

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

85707456 is a wasteful number, since it uses less digits than its factorization.

85707456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 85707456 is about 9257.8321436500. The cubic root of 85707456 is about 440.8994273975.

The spelling of 85707456 in words is "eighty-five million, seven hundred seven thousand, four hundred fifty-six".