11945600 has 48 divisors (see below), whose sum is σ = 29517270. Its totient is φ = 4776960.

The previous prime is 11945599. The next prime is 11945603. The reversal of 11945600 is 654911.

It can be written as a sum of positive squares in 3 ways, for example, as 9096256 + 2849344 = 3016^2 + 1688^2 .

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11945600.

It is not an unprimeable number, because it can be changed into a prime (11945603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1334 + ... + 5066.

Almost surely, 2^11945600 is an apocalyptic number.

11945600 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 11945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758635).

11945600 is an abundant number, since it is smaller than the sum of its proper divisors (17571670).

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

11945600 is an equidigital number, since it uses as much as digits as its factorization.

11945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 11945600 is about 3456.2407323565. The cubic root of 11945600 is about 228.5963663267.

The spelling of 11945600 in words is "eleven million, nine hundred forty-five thousand, six hundred".