86142784 has 84 divisors (see below), whose sum is σ = 214245444. Its totient is φ = 34062336.

The previous prime is 86142761. The next prime is 86142817. The reversal of 86142784 is 48724168.

It can be written as a sum of positive squares in 2 ways, for example, as 3841600 + 82301184 = 1960^2 + 9072^2 .

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 11 ways as a sum of consecutive naturals, for example, 39712 + ... + 41824.

It is an arithmetic number, because the mean of its divisors is an integer number (2550541).

Almost surely, 2^86142784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107122722).

86142784 is an abundant number, since it is smaller than the sum of its proper divisors (128102660).

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

86142784 is a wasteful number, since it uses less digits than its factorization.

86142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2135 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 86142784 is about 9281.3137001181. The cubic root of 86142784 is about 441.6446438447.

The spelling of 86142784 in words is "eighty-six million, one hundred forty-two thousand, seven hundred eighty-four".