11198400 has 84 divisors (see below), whose sum is σ = 36755832. Its totient is φ = 2984960.

The previous prime is 11198399. The next prime is 11198417. The reversal of 11198400 is 489111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3634 + ... + 5966.

Almost surely, 2^11198400 is an apocalyptic number.

11198400 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 11198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377916).

11198400 is an abundant number, since it is smaller than the sum of its proper divisors (25557432).

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

11198400 is a wasteful number, since it uses less digits than its factorization.

11198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11198400 is about 3346.4010518765. The cubic root of 11198400 is about 223.7271337285.

The spelling of 11198400 in words is "eleven million, one hundred ninety-eight thousand, four hundred".