86130800 has 120 divisors (see below), whose sum is σ = 249091200. Its totient is φ = 27959040.

The previous prime is 86130799. The next prime is 86130817. The reversal of 86130800 is 803168.

It is a self number, because there is not a number n which added to its sum of digits gives 86130800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52391 + ... + 54009.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^86130800 is an apocalyptic number.

86130800 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 86130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

86130800 is an abundant number, since it is smaller than the sum of its proper divisors (162960400).

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

86130800 is a wasteful number, since it uses less digits than its factorization.

86130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 86130800 is about 9280.6680794003. The cubic root of 86130800 is about 441.6241626753.

Adding to 86130800 its reverse (803168), we get a palindrome (86933968).

The spelling of 86130800 in words is "eighty-six million, one hundred thirty thousand, eight hundred".