11883360 has 96 divisors (see below), whose sum is σ = 39432960. Its totient is φ = 2999808.

The previous prime is 11883353. The next prime is 11883397. The reversal of 11883360 is 6338811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8469 + ... + 9771.

It is an arithmetic number, because the mean of its divisors is an integer number (410760).

Almost surely, 2^11883360 is an apocalyptic number.

11883360 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 11883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19716480).

11883360 is an abundant number, since it is smaller than the sum of its proper divisors (27549600).

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

11883360 is a wasteful number, since it uses less digits than its factorization.

11883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 11883360 is about 3447.2249709005. The cubic root of 11883360 is about 228.1986572683.

The spelling of 11883360 in words is "eleven million, eight hundred eighty-three thousand, three hundred sixty".