85583968 has 48 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 41731200.

The previous prime is 85583957. The next prime is 85583987. The reversal of 85583968 is 86938558.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315673 + ... + 315943.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^85583968 is an apocalyptic number.

It is an amenable number.

85583968 is an abundant number, since it is smaller than the sum of its proper divisors (87146912).

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

85583968 is a wasteful number, since it uses less digits than its factorization.

85583968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 85583968 is about 9251.1603596522. The cubic root of 85583968 is about 440.6875751245.

The spelling of 85583968 in words is "eighty-five million, five hundred eighty-three thousand, nine hundred sixty-eight".