11009400 has 96 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2876800.

The previous prime is 11009399. The next prime is 11009407. The reversal of 11009400 is 490011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11009400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35245 + ... + 35555.

It is an arithmetic number, because the mean of its divisors is an integer number (362700).

Almost surely, 2^11009400 is an apocalyptic number.

11009400 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 11009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11009400 is an abundant number, since it is smaller than the sum of its proper divisors (23809800).

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

11009400 is a wasteful number, since it uses less digits than its factorization.

11009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11009400 is about 3318.0415910594. The cubic root of 11009400 is about 222.4613407563.

Adding to 11009400 its reverse (490011), we get a palindrome (11499411).

The spelling of 11009400 in words is "eleven million, nine thousand, four hundred".