85713984 has 56 divisors (see below), whose sum is σ = 251988320. Its totient is φ = 28570752.

The previous prime is 85713931. The next prime is 85713989. The reversal of 85713984 is 48931758.

It is not an unprimeable number, because it can be changed into a prime (85713989) by changing a digit.

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, 23074 + ... + 26529.

Almost surely, 2^85713984 is an apocalyptic number.

It is an amenable number.

85713984 is an abundant number, since it is smaller than the sum of its proper divisors (166274336).

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

85713984 is a wasteful number, since it uses less digits than its factorization.

85713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49624 (or 49608 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 85713984 is about 9258.1847032774. The cubic root of 85713984 is about 440.9106209720.

It can be divided in two parts, 857 and 13984, that added together give a palindrome (14841).

The spelling of 85713984 in words is "eighty-five million, seven hundred thirteen thousand, nine hundred eighty-four".