86118400 has 117 divisors (see below), whose sum is σ = 221165191. Its totient is φ = 33259520.

The previous prime is 86118343. The next prime is 86118401. The reversal of 86118400 is 481168.

The square root of 86118400 is 9280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 84934656 = 1088^2 + 9216^2 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (86118401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2969586 + ... + 2969614.

Almost surely, 2^86118400 is an apocalyptic number.

86118400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86118400 is the 9280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86118400

86118400 is an abundant number, since it is smaller than the sum of its proper divisors (135046791).

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

86118400 is an equidigital number, since it uses as much as digits as its factorization.

86118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The cubic root of 86118400 is about 441.6029685441.

Adding to 86118400 its reverse (481168), we get a palindrome (86599568).

The spelling of 86118400 in words is "eighty-six million, one hundred eighteen thousand, four hundred".