85390536 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 20697600.

The previous prime is 85390519. The next prime is 85390537. The reversal of 85390536 is 63509358.

It is a junction number, because it is equal to n+sod(n) for n = 85390494 and 85390503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85390537) 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 63 ways as a sum of consecutive naturals, for example, 2082676 + ... + 2082716.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^85390536 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 85390536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

85390536 is an abundant number, since it is smaller than the sum of its proper divisors (204913464).

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

85390536 is a wasteful number, since it uses less digits than its factorization.

85390536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 85390536 is about 9240.6999734869. The cubic root of 85390536 is about 440.3553190479.

The spelling of 85390536 in words is "eighty-five million, three hundred ninety thousand, five hundred thirty-six".