85975648 has 48 divisors (see below), whose sum is σ = 190632960. Its totient is φ = 37814400.

The previous prime is 85975559. The next prime is 85975651. The reversal of 85975648 is 84657958.

It is a junction number, because it is equal to n+sod(n) for n = 85975595 and 85975604.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6973 + ... + 14851.

It is an arithmetic number, because the mean of its divisors is an integer number (3971520).

Almost surely, 2^85975648 is an apocalyptic number.

85975648 is a gapful number since it is divisible by the number (88) 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 85975648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95316480).

85975648 is an abundant number, since it is smaller than the sum of its proper divisors (104657312).

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

85975648 is a wasteful number, since it uses less digits than its factorization.

85975648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931 (or 7923 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The square root of 85975648 is about 9272.3054306898. The cubic root of 85975648 is about 441.3588295790.

The spelling of 85975648 in words is "eighty-five million, nine hundred seventy-five thousand, six hundred forty-eight".