11712800 has 90 divisors (see below), whose sum is σ = 31453065. Its totient is φ = 4259200.

The previous prime is 11712791. The next prime is 11712803. The reversal of 11712800 is 821711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 234256 = 3388^2 + 484^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2420.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11712803) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1064795 + ... + 1064805.

Almost surely, 2^11712800 is an apocalyptic number.

11712800 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 11712800

11712800 is an abundant number, since it is smaller than the sum of its proper divisors (19740265).

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

11712800 is an frugal number, since it uses more digits than its factorization.

11712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 11712800 is about 3422.3968209429. The cubic root of 11712800 is about 227.1016254004.

The spelling of 11712800 in words is "eleven million, seven hundred twelve thousand, eight hundred".