85656285 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 34836480.

The previous prime is 85656283. The next prime is 85656287. The reversal of 85656285 is 58265658.

85656285 is a `hidden beast` number, since 8 + 5 + 6 + 562 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (85656283) and next prime (85656287).

It is not a de Polignac number, because 85656285 - 2¹ = 85656283 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (576000) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 85656285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85656283) 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 191 ways as a sum of consecutive naturals, for example, 2953651 + ... + 2953679.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^85656285 is an apocalyptic number.

85656285 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85656285 is an abundant number, since it is smaller than the sum of its proper divisors (112476195).

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

85656285 is a wasteful number, since it uses less digits than its factorization.

85656285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 85656285 is about 9255.0680710625. The cubic root of 85656285 is about 440.8116646864.

The spelling of 85656285 in words is "eighty-five million, six hundred fifty-six thousand, two hundred eighty-five".