86234890240 has 108 divisors (see below), whose sum is σ = 207769041396. Its totient is φ = 34359738368.

The previous prime is 86234890237. The next prime is 86234890241. The reversal of 86234890240 is 4209843268.

It can be written as a sum of positive squares in 2 ways, for example, as 64491618304 + 21743271936 = 253952^2 + 147456^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86234890241) by changing a digit.

In principle, a polygon with 86234890240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335544192 + ... + 335544448.

Almost surely, 2^86234890240 is an apocalyptic number.

86234890240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86234890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103884520698).

86234890240 is an abundant number, since it is smaller than the sum of its proper divisors (121534151156).

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

86234890240 is an frugal number, since it uses more digits than its factorization.

86234890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 86234890240 in words is "eighty-six billion, two hundred thirty-four million, eight hundred ninety thousand, two hundred forty".