85306848 has 48 divisors (see below), whose sum is σ = 244290816. Its totient is φ = 25850240.

The previous prime is 85306847. The next prime is 85306849. The reversal of 85306848 is 84860358.

It is an interprime number because it is at equal distance from previous prime (85306847) and next prime (85306849).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85306843) by changing a digit.

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, 39336 + ... + 41447.

It is an arithmetic number, because the mean of its divisors is an integer number (5089392).

Almost surely, 2^85306848 is an apocalyptic number.

85306848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85306848 is an abundant number, since it is smaller than the sum of its proper divisors (158983968).

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

85306848 is a wasteful number, since it uses less digits than its factorization.

85306848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80807 (or 80799 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 85306848 is about 9236.1706350630. The cubic root of 85306848 is about 440.2114135541.

The spelling of 85306848 in words is "eighty-five million, three hundred six thousand, eight hundred forty-eight".