85420818 has 144 divisors (see below), whose sum is σ = 237523104. Its totient is φ = 22861440.

The previous prime is 85420817. The next prime is 85420823. The reversal of 85420818 is 81802458.

It is a super-2 number, since 2×85420818² = 14593432295578248, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85420817) 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 71 ways as a sum of consecutive naturals, for example, 404733 + ... + 404943.

It is an arithmetic number, because the mean of its divisors is an integer number (1649466).

Almost surely, 2^85420818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85420818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118761552).

85420818 is an abundant number, since it is smaller than the sum of its proper divisors (152102286).

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

85420818 is a wasteful number, since it uses less digits than its factorization.

85420818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 85420818 is about 9242.3383404851. The cubic root of 85420818 is about 440.4073672193.

It can be divided in two parts, 85 and 420818, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 85420818 in words is "eighty-five million, four hundred twenty thousand, eight hundred eighteen".