85104640 has 48 divisors (see below), whose sum is σ = 204225840. Its totient is φ = 34037760.

The previous prime is 85104637. The next prime is 85104653. The reversal of 85104640 is 4640158.

It is a junction number, because it is equal to n+sod(n) for n = 85104599 and 85104608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6085 + ... + 14395.

It is an arithmetic number, because the mean of its divisors is an integer number (4254705).

Almost surely, 2^85104640 is an apocalyptic number.

85104640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102112920).

85104640 is an abundant number, since it is smaller than the sum of its proper divisors (119121200).

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

85104640 is an equidigital number, since it uses as much as digits as its factorization.

85104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 85104640 is about 9225.2176126095. The cubic root of 85104640 is about 439.8633184272.

Adding to 85104640 its reverse (4640158), we get a palindrome (89744798).

The spelling of 85104640 in words is "eighty-five million, one hundred four thousand, six hundred forty".