86402085 has 64 divisors (see below), whose sum is σ = 173629440. Its totient is φ = 35642880.

The previous prime is 86402083. The next prime is 86402111. The reversal of 86402085 is 58020468.

86402085 is a nontrivial binomial coefficient, being equal to C(13146, 2).

It is not a de Polignac number, because 86402085 - 2¹ = 86402083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86402083) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 275889 + ... + 276201.

It is an arithmetic number, because the mean of its divisors is an integer number (2712960).

Almost surely, 2^86402085 is an apocalyptic number.

86402085 is the 13145-th triangular number and also the 6573-rd hexagonal number.

It is an amenable number.

86402085 is an abundant number, since it is smaller than the sum of its proper divisors (87227355).

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

86402085 is a wasteful number, since it uses less digits than its factorization.

86402085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 86402085 is about 9295.2721853639. The cubic root of 86402085 is about 442.0873359220.

The spelling of 86402085 in words is "eighty-six million, four hundred two thousand, eighty-five".