11799360 has 168 divisors, whose sum is σ = 43150536. Its totient is φ = 2949120.

The previous prime is 11799311. The next prime is 11799373. The reversal of 11799360 is 6399711.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 8020224 = 1944^2 + 2832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48840 + ... + 49080.

Almost surely, 2^11799360 is an apocalyptic number.

11799360 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 11799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21575268).

11799360 is an abundant number, since it is smaller than the sum of its proper divisors (31351176).

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

11799360 is a wasteful number, since it uses less digits than its factorization.

11799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11799360 is about 3435.0196505988. The cubic root of 11799360 is about 227.6596954659.

The spelling of 11799360 in words is "eleven million, seven hundred ninety-nine thousand, three hundred sixty".