11296400 has 60 divisors (see below), whose sum is σ = 28045824. Its totient is φ = 4368000.

The previous prime is 11296387. The next prime is 11296421. The reversal of 11296400 is 469211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11945 + ... + 12855.

Almost surely, 2^11296400 is an apocalyptic number.

11296400 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 11296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022912).

11296400 is an abundant number, since it is smaller than the sum of its proper divisors (16749424).

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

11296400 is a wasteful number, since it uses less digits than its factorization.

11296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11296400 is about 3361.0117524341. The cubic root of 11296400 is about 224.3778698588.

The spelling of 11296400 in words is "eleven million, two hundred ninety-six thousand, four hundred".