11198880 has 288 divisors, whose sum is σ = 48117888. Its totient is φ = 2304000.

The previous prime is 11198879. The next prime is 11198893. The reversal of 11198880 is 8889111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110830 + ... + 110930.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 2^11198880 is an apocalyptic number.

11198880 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 11198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944).

11198880 is an abundant number, since it is smaller than the sum of its proper divisors (36919008).

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

11198880 is a wasteful number, since it uses less digits than its factorization.

11198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 11198880 is about 3346.4727699475. The cubic root of 11198880 is about 223.7303302414.

It can be divided in two parts, 1119 and 8880, that added together give a palindrome (9999).

The spelling of 11198880 in words is "eleven million, one hundred ninety-eight thousand, eight hundred eighty".