85390848 has 200 divisors, whose sum is σ = 267371280. Its totient is φ = 27095040.

The previous prime is 85390841. The next prime is 85390849. The reversal of 85390848 is 84809358.

It is a super-3 number, since 3×85390848³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85390841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1202653 + ... + 1202723.

Almost surely, 2^85390848 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 85390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133685640).

85390848 is an abundant number, since it is smaller than the sum of its proper divisors (181980432).

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

85390848 is an equidigital number, since it uses as much as digits as its factorization.

85390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 85390848 is about 9240.7168553094. The cubic root of 85390848 is about 440.3558553707.

The spelling of 85390848 in words is "eighty-five million, three hundred ninety thousand, eight hundred forty-eight".