85385286 has 64 divisors (see below), whose sum is σ = 218880000. Its totient is φ = 24167808.

The previous prime is 85385257. The next prime is 85385291. The reversal of 85385286 is 68258358.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41715 + ... + 43713.

It is an arithmetic number, because the mean of its divisors is an integer number (3420000).

Almost surely, 2^85385286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85385286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440000).

85385286 is an abundant number, since it is smaller than the sum of its proper divisors (133494714).

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

85385286 is a wasteful number, since it uses less digits than its factorization.

85385286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2124 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85385286 is about 9240.4158997309. The cubic root of 85385286 is about 440.3462941882.

It can be divided in two parts, 8538 and 5286, that added together give a cube (13824 = 24³).

The spelling of 85385286 in words is "eighty-five million, three hundred eighty-five thousand, two hundred eighty-six".