11918000 has 80 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 4640000.

The previous prime is 11917993. The next prime is 11918051. The reversal of 11918000 is 81911.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117950 + ... + 118050.

It is an arithmetic number, because the mean of its divisors is an integer number (369954).

Almost surely, 2^11918000 is an apocalyptic number.

11918000 is a gapful number since it is divisible by the number (10) 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 11918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

11918000 is an abundant number, since it is smaller than the sum of its proper divisors (17678320).

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

11918000 is a wasteful number, since it uses less digits than its factorization.

11918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 11918000 is about 3452.2456459528. The cubic root of 11918000 is about 228.4201752303.

Adding to 11918000 its reverse (81911), we get a palindrome (11999911).

The spelling of 11918000 in words is "eleven million, nine hundred eighteen thousand".