8118400 has 96 divisors (see below), whose sum is σ = 20869200. Its totient is φ = 3118080.

The previous prime is 8118391. The next prime is 8118413. The reversal of 8118400 is 48118.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137571 + ... + 137629.

Almost surely, 2^8118400 is an apocalyptic number.

8118400 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 8118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434600).

8118400 is an abundant number, since it is smaller than the sum of its proper divisors (12750800).

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

8118400 is a wasteful number, since it uses less digits than its factorization.

8118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 8118400 is about 2849.2806109613. The cubic root of 8118400 is about 200.9818387426.

It can be divided in two parts, 81 and 18400, that added together give a palindrome (18481).

The spelling of 8118400 in words is "eight million, one hundred eighteen thousand, four hundred".