8018000 has 80 divisors (see below), whose sum is σ = 20504640. Its totient is φ = 3024000.

The previous prime is 8017993. The next prime is 8018027. The reversal of 8018000 is 8108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 8018000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37895 + ... + 38105.

It is an arithmetic number, because the mean of its divisors is an integer number (256308).

Almost surely, 2^8018000 is an apocalyptic number.

8018000 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 8018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252320).

8018000 is an abundant number, since it is smaller than the sum of its proper divisors (12486640).

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

8018000 is a wasteful number, since it uses less digits than its factorization.

8018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 8018000 is about 2831.6073174083. The cubic root of 8018000 is about 200.1498876404.

It can be divided in two parts, 80 and 18000, that multiplied together give a square (1440000 = 1200²).

The spelling of 8018000 in words is "eight million, eighteen thousand".