11704400 has 60 divisors (see below), whose sum is σ = 29118300. Its totient is φ = 4515840.

The previous prime is 11704387. The next prime is 11704501. The reversal of 11704400 is 440711.

It can be written as a sum of positive squares in 6 ways, for example, as 602176 + 11102224 = 776^2 + 3332^2 .

It is a congruent number.

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, 11096 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (485305).

Almost surely, 2^11704400 is an apocalyptic number.

11704400 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 11704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559150).

11704400 is an abundant number, since it is smaller than the sum of its proper divisors (17413900).

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

11704400 is a wasteful number, since it uses less digits than its factorization.

11704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 11704400 is about 3421.1693907201. The cubic root of 11704400 is about 227.0473227040.

The spelling of 11704400 in words is "eleven million, seven hundred four thousand, four hundred".