85310496 has 192 divisors, whose sum is σ = 267805440. Its totient is φ = 26687232.

The previous prime is 85310479. The next prime is 85310507. The reversal of 85310496 is 69401358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85310496.

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 31 ways as a sum of consecutive naturals, for example, 1609606 + ... + 1609658.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 2^85310496 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 85310496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

85310496 is an abundant number, since it is smaller than the sum of its proper divisors (182494944).

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

85310496 is an equidigital number, since it uses as much as digits as its factorization.

85310496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85310496 is about 9236.3681173933. The cubic root of 85310496 is about 440.2176884249.

The spelling of 85310496 in words is "eighty-five million, three hundred ten thousand, four hundred ninety-six".