85431696 has 80 divisors (see below), whose sum is σ = 257424000. Its totient is φ = 24404352.

The previous prime is 85431667. The next prime is 85431719. The reversal of 85431696 is 69613458.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13870 + ... + 19058.

It is an arithmetic number, because the mean of its divisors is an integer number (3217800).

Almost surely, 2^85431696 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 85431696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128712000).

85431696 is an abundant number, since it is smaller than the sum of its proper divisors (171992304).

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

85431696 is a wasteful number, since it uses less digits than its factorization.

85431696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5201 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 85431696 is about 9242.9268091877. The cubic root of 85431696 is about 440.4260611322.

The spelling of 85431696 in words is "eighty-five million, four hundred thirty-one thousand, six hundred ninety-six".