11998800 has 240 divisors, whose sum is σ = 47050560. Its totient is φ = 2880000.

The previous prime is 11998769. The next prime is 11998807. The reversal of 11998800 is 889911.

11998800 = 106³ + 107³ + ... + 114³.

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 (36).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11998807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 118750 + ... + 118850.

It is an arithmetic number, because the mean of its divisors is an integer number (196044).

Almost surely, 2^11998800 is an apocalyptic number.

11998800 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 11998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525280).

11998800 is an abundant number, since it is smaller than the sum of its proper divisors (35051760).

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

11998800 is a wasteful number, since it uses less digits than its factorization.

11998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 11998800 is about 3463.9284057267. The cubic root of 11998800 is about 228.9352168280.

Subtracting from 11998800 its reverse (889911), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1199 and 8800, that added together give a palindrome (9999).

The spelling of 11998800 in words is "eleven million, nine hundred ninety-eight thousand, eight hundred".