86219240 has 64 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 32117760.

The previous prime is 86219239. The next prime is 86219251. The reversal of 86219240 is 4291268.

It is a junction number, because it is equal to n+sod(n) for n = 86219197 and 86219206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69425 + ... + 70655.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^86219240 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 86219240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

86219240 is an abundant number, since it is smaller than the sum of its proper divisors (121348120).

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

86219240 is a wasteful number, since it uses less digits than its factorization.

86219240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 86219240 is about 9285.4316000927. The cubic root of 86219240 is about 441.7752657280.

It can be divided in two parts, 862 and 19240, that added together give a palindrome (20102).

The spelling of 86219240 in words is "eighty-six million, two hundred nineteen thousand, two hundred forty".