85886820 has 36 divisors (see below), whose sum is σ = 260523900. Its totient is φ = 22903104.

The previous prime is 85886791. The next prime is 85886861. The reversal of 85886820 is 2868858.

85886820 is a `hidden beast` number, since 8 + 588 + 68 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13704804 + 72182016 = 3702^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 238395 + ... + 238754.

It is an arithmetic number, because the mean of its divisors is an integer number (7236775).

Almost surely, 2^85886820 is an apocalyptic number.

It is an amenable number.

85886820 is an abundant number, since it is smaller than the sum of its proper divisors (174637080).

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

85886820 is a wasteful number, since it uses less digits than its factorization.

85886820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477164 (or 477159 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 85886820 is about 9267.5142298245. The cubic root of 85886820 is about 441.2067767103.

It can be divided in two parts, 858 and 86820, that added together give a palindrome (87678).

The spelling of 85886820 in words is "eighty-five million, eight hundred eighty-six thousand, eight hundred twenty".