86800840 has 64 divisors (see below), whose sum is σ = 224789760. Its totient is φ = 29548800.

The previous prime is 86800829. The next prime is 86800841. The reversal of 86800840 is 4800868.

It is a junction number, because it is equal to n+sod(n) for n = 86800796 and 86800805.

It is not an unprimeable number, because it can be changed into a prime (86800841) by changing a digit.

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, 41254 + ... + 43306.

It is an arithmetic number, because the mean of its divisors is an integer number (3512340).

Almost surely, 2^86800840 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 86800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112394880).

86800840 is an abundant number, since it is smaller than the sum of its proper divisors (137988920).

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

86800840 is a wasteful number, since it uses less digits than its factorization.

86800840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 86800840 is about 9316.6968395457. The cubic root of 86800840 is about 442.7663860401.

The spelling of 86800840 in words is "eighty-six million, eight hundred thousand, eight hundred forty".