8118000 has 240 divisors, whose sum is σ = 31685472. Its totient is φ = 1920000.

The previous prime is 8117969. The next prime is 8118023. The reversal of 8118000 is 8118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197980 + ... + 198020.

Almost surely, 2^8118000 is an apocalyptic number.

8118000 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 8118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

8118000 is an abundant number, since it is smaller than the sum of its proper divisors (23567472).

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

8118000 is a wasteful number, since it uses less digits than its factorization.

8118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8118000 is about 2849.2104169401. The cubic root of 8118000 is about 200.9785378436.

8118000 divided by its reverse (8118) gives a cube (1000 = 10³).

It can be divided in two parts, 81 and 18000, that added together give a palindrome (18081).

The spelling of 8118000 in words is "eight million, one hundred eighteen thousand".