85582068 has 96 divisors (see below), whose sum is σ = 239283072. Its totient is φ = 23462400.

The previous prime is 85582067. The next prime is 85582087. The reversal of 85582068 is 86028558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85582067) 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 31 ways as a sum of consecutive naturals, for example, 90478 + ... + 91418.

It is an arithmetic number, because the mean of its divisors is an integer number (2492532).

Almost surely, 2^85582068 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 85582068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119641536).

85582068 is an abundant number, since it is smaller than the sum of its proper divisors (153701004).

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

85582068 is a wasteful number, since it uses less digits than its factorization.

85582068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 85582068 is about 9251.0576692614. The cubic root of 85582068 is about 440.6843139507.

The spelling of 85582068 in words is "eighty-five million, five hundred eighty-two thousand, sixty-eight".