86116400 has 120 divisors (see below), whose sum is σ = 217954800. Its totient is φ = 32665600.

The previous prime is 86116391. The next prime is 86116403. The reversal of 86116400 is 461168.

It is a self number, because there is not a number n which added to its sum of digits gives 86116400.

It is not an unprimeable number, because it can be changed into a prime (86116403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967556 + ... + 967644.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290).

Almost surely, 2^86116400 is an apocalyptic number.

86116400 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 86116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108977400).

86116400 is an abundant number, since it is smaller than the sum of its proper divisors (131838400).

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

86116400 is a wasteful number, since it uses less digits than its factorization.

86116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

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

The square root of 86116400 is about 9279.8922407537. The cubic root of 86116400 is about 441.5995499453.

Adding to 86116400 its reverse (461168), we get a palindrome (86577568).

The spelling of 86116400 in words is "eighty-six million, one hundred sixteen thousand, four hundred".