86280000 has 140 divisors (see below), whose sum is σ = 285658560. Its totient is φ = 22976000.

The previous prime is 86279989. The next prime is 86280011. The reversal of 86280000 is 8268.

It is an interprime number because it is at equal distance from previous prime (86279989) and next prime (86280011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119641 + ... + 120359.

Almost surely, 2^86280000 is an apocalyptic number.

86280000 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 86280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142829280).

86280000 is an abundant number, since it is smaller than the sum of its proper divisors (199378560).

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

86280000 is an equidigital number, since it uses as much as digits as its factorization.

86280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 86280000 is about 9288.7028157865. The cubic root of 86280000 is about 441.8790165932.

Adding to 86280000 its reverse (8268), we get a palindrome (86288268).

The spelling of 86280000 in words is "eighty-six million, two hundred eighty thousand".