11381760 has 264 divisors, whose sum is σ = 44706480. Its totient is φ = 2654208.

The previous prime is 11381753. The next prime is 11381761. The reversal of 11381760 is 6718311.

It is a super-3 number, since 3×11381760³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11381761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599031 + ... + 599049.

Almost surely, 2^11381760 is an apocalyptic number.

11381760 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 11381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353240).

11381760 is an abundant number, since it is smaller than the sum of its proper divisors (33324720).

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

11381760 is a wasteful number, since it uses less digits than its factorization.

11381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11381760 is about 3373.6864110347. The cubic root of 11381760 is about 224.9416144804.

The spelling of 11381760 in words is "eleven million, three hundred eighty-one thousand, seven hundred sixty".