85711648 has 48 divisors (see below), whose sum is σ = 188606880. Its totient is φ = 38003200.

The previous prime is 85711589. The next prime is 85711651. The reversal of 85711648 is 84611758.

It is a self number, because there is not a number n which added to its sum of digits gives 85711648.

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, 11463 + ... + 17401.

It is an arithmetic number, because the mean of its divisors is an integer number (3929310).

Almost surely, 2^85711648 is an apocalyptic number.

85711648 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 85711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303440).

85711648 is an abundant number, since it is smaller than the sum of its proper divisors (102895232).

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

85711648 is a wasteful number, since it uses less digits than its factorization.

85711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5993 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 85711648 is about 9258.0585437769. The cubic root of 85711648 is about 440.9066154935.

The spelling of 85711648 in words is "eighty-five million, seven hundred eleven thousand, six hundred forty-eight".