85845648 has 240 divisors, whose sum is σ = 290070720. Its totient is φ = 21676032.

The previous prime is 85845623. The next prime is 85845653. The reversal of 85845648 is 84654858.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 85845597 and 85845606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759640 + ... + 759752.

It is an arithmetic number, because the mean of its divisors is an integer number (1208628).

Almost surely, 2^85845648 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 85845648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145035360).

85845648 is an abundant number, since it is smaller than the sum of its proper divisors (204225072).

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

85845648 is a wasteful number, since it uses less digits than its factorization.

85845648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 85845648 is about 9265.2926559284. The cubic root of 85845648 is about 441.1362642659.

The spelling of 85845648 in words is "eighty-five million, eight hundred forty-five thousand, six hundred forty-eight".