11198000 has 80 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 4064000.

The previous prime is 11197997. The next prime is 11198003. The reversal of 11198000 is 89111.

11198000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11197997) and next prime (11198003).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21746 + ... + 22254.

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

Almost surely, 2^11198000 is an apocalyptic number.

11198000 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 11198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

11198000 is an abundant number, since it is smaller than the sum of its proper divisors (18398320).

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

11198000 is a wasteful number, since it uses less digits than its factorization.

11198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

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

The square root of 11198000 is about 3346.3412856432. The cubic root of 11198000 is about 223.7244698980.

Subtracting from 11198000 its reverse (89111), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1119 and 8000, that added together give a palindrome (9119).

The spelling of 11198000 in words is "eleven million, one hundred ninety-eight thousand".