85431936 has 128 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 25591808.

The previous prime is 85431889. The next prime is 85431977. The reversal of 85431936 is 63913458.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 85431894 and 85431903.

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 15 ways as a sum of consecutive naturals, for example, 149860 + ... + 150428.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^85431936 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 85431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

85431936 is an abundant number, since it is smaller than the sum of its proper divisors (165732864).

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

85431936 is a wasteful number, since it uses less digits than its factorization.

85431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 85431936 is about 9242.9397920791. The cubic root of 85431936 is about 440.4264735558.

The spelling of 85431936 in words is "eighty-five million, four hundred thirty-one thousand, nine hundred thirty-six".