11931360 has 192 divisors, whose sum is σ = 44416512. Its totient is φ = 2635776.

The previous prime is 11931341. The next prime is 11931371. The reversal of 11931360 is 6313911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11931360.

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 31 ways as a sum of consecutive naturals, for example, 178047 + ... + 178113.

It is an arithmetic number, because the mean of its divisors is an integer number (231336).

Almost surely, 2^11931360 is an apocalyptic number.

11931360 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 11931360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256).

11931360 is an abundant number, since it is smaller than the sum of its proper divisors (32485152).

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

11931360 is a wasteful number, since it uses less digits than its factorization.

11931360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 11931360 is about 3454.1800763712. The cubic root of 11931360 is about 228.5054958641.

The spelling of 11931360 in words is "eleven million, nine hundred thirty-one thousand, three hundred sixty".