11838960 has 280 divisors, whose sum is σ = 48791520. Its totient is φ = 2612736.

The previous prime is 11838943. The next prime is 11838977. The reversal of 11838960 is 6983811.

11838960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11838943) and next prime (11838977).

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 408226 + ... + 408254.

Almost surely, 2^11838960 is an apocalyptic number.

11838960 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 11838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395760).

11838960 is an abundant number, since it is smaller than the sum of its proper divisors (36952560).

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

11838960 is an equidigital number, since it uses as much as digits as its factorization.

11838960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11838960 is about 3440.7789815680. The cubic root of 11838960 is about 227.9140950610.

The spelling of 11838960 in words is "eleven million, eight hundred thirty-eight thousand, nine hundred sixty".