86205240 has 144 divisors (see below), whose sum is σ = 308107800. Its totient is φ = 20887680.

The previous prime is 86205221. The next prime is 86205241. The reversal of 86205240 is 4250268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86205241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42571 + ... + 44549.

Almost surely, 2^86205240 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 86205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154053900).

86205240 is an abundant number, since it is smaller than the sum of its proper divisors (221902560).

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

86205240 is a wasteful number, since it uses less digits than its factorization.

86205240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 86205240 is about 9284.6777003836. The cubic root of 86205240 is about 441.7513530897.

The spelling of 86205240 in words is "eighty-six million, two hundred five thousand, two hundred forty".