11311400 has 48 divisors (see below), whose sum is σ = 27453600. Its totient is φ = 4326080.

The previous prime is 11311397. The next prime is 11311453. The reversal of 11311400 is 411311.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3371 + ... + 5829.

It is an arithmetic number, because the mean of its divisors is an integer number (571950).

Almost surely, 2^11311400 is an apocalyptic number.

11311400 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 11311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726800).

11311400 is an abundant number, since it is smaller than the sum of its proper divisors (16142200).

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

11311400 is a wasteful number, since it uses less digits than its factorization.

11311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11311400 is about 3363.2424830809. The cubic root of 11311400 is about 224.4771398161.

Adding to 11311400 its reverse (411311), we get a palindrome (11722711).

It can be divided in two parts, 11311 and 400, that added together give a palindrome (11711).

The spelling of 11311400 in words is "eleven million, three hundred eleven thousand, four hundred".