11198688 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 3494400.

The previous prime is 11198687. The next prime is 11198701. The reversal of 11198688 is 88689111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11198688² = 250821225842688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198687) 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, 157693 + ... + 157763.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 2^11198688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11198688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

11198688 is an abundant number, since it is smaller than the sum of its proper divisors (20154144).

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

11198688 is a wasteful number, since it uses less digits than its factorization.

11198688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 27648, while the sum is 42.

The square root of 11198688 is about 3346.4440829035. Note that the first 3 decimals coincide. The cubic root of 11198688 is about 223.7290516472.

The spelling of 11198688 in words is "eleven million, one hundred ninety-eight thousand, six hundred eighty-eight".