11706400 has 36 divisors (see below), whose sum is σ = 28580202. Its totient is φ = 4682240.

The previous prime is 11706397. The next prime is 11706407. The reversal of 11706400 is 460711.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4545424 + 7160976 = 2132^2 + 2676^2 .

It is not an unprimeable number, because it can be changed into a prime (11706407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6517 + ... + 8116.

Almost surely, 2^11706400 is an apocalyptic number.

11706400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11706400 is an abundant number, since it is smaller than the sum of its proper divisors (16873802).

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

11706400 is a wasteful number, since it uses less digits than its factorization.

11706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11706400 is about 3421.4616759508. The cubic root of 11706400 is about 227.0602542734.

The spelling of 11706400 in words is "eleven million, seven hundred six thousand, four hundred".