85700256 has 48 divisors (see below), whose sum is σ = 225540000. Its totient is φ = 28493568.

The previous prime is 85700207. The next prime is 85700257. The reversal of 85700256 is 65200758.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (85700257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47010 + ... + 48798.

It is an arithmetic number, because the mean of its divisors is an integer number (4698750).

Almost surely, 2^85700256 is an apocalyptic number.

It is an amenable number.

85700256 is an abundant number, since it is smaller than the sum of its proper divisors (139839744).

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

85700256 is a wasteful number, since it uses less digits than its factorization.

85700256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 85700256 is about 9257.4432755486. The cubic root of 85700256 is about 440.8870808840.

The spelling of 85700256 in words is "eighty-five million, seven hundred thousand, two hundred fifty-six".