11418000 has 160 divisors (see below), whose sum is σ = 40390272. Its totient is φ = 2752000.

The previous prime is 11417963. The next prime is 11418037. The reversal of 11418000 is 81411.

It is an interprime number because it is at equal distance from previous prime (11417963) and next prime (11418037).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65914 + ... + 66086.

Almost surely, 2^11418000 is an apocalyptic number.

11418000 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 11418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195136).

11418000 is an abundant number, since it is smaller than the sum of its proper divisors (28972272).

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

11418000 is a wasteful number, since it uses less digits than its factorization.

11418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11418000 is about 3379.0531218079. The cubic root of 11418000 is about 225.1801027107.

Adding to 11418000 its reverse (81411), we get a palindrome (11499411).

The spelling of 11418000 in words is "eleven million, four hundred eighteen thousand".