11944800 has 288 divisors, whose sum is σ = 49996800. Its totient is φ = 2695680.

The previous prime is 11944763. The next prime is 11944811. The reversal of 11944800 is 844911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151161 + ... + 151239.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^11944800 is an apocalyptic number.

11944800 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 11944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

11944800 is an abundant number, since it is smaller than the sum of its proper divisors (38052000).

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

11944800 is a wasteful number, since it uses less digits than its factorization.

11944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11944800 is about 3456.1249977395. The cubic root of 11944800 is about 228.5912631597.

The spelling of 11944800 in words is "eleven million, nine hundred forty-four thousand, eight hundred".