11967360 has 128 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 3041280.

The previous prime is 11967349. The next prime is 11967377. The reversal of 11967360 is 6376911.

It is a tau number, because it is divible by the number of its divisors (128).

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, 44025 + ... + 44295.

It is an arithmetic number, because the mean of its divisors is an integer number (312120).

Almost surely, 2^11967360 is an apocalyptic number.

11967360 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 11967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

11967360 is an abundant number, since it is smaller than the sum of its proper divisors (27984000).

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

11967360 is a wasteful number, since it uses less digits than its factorization.

11967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 11967360 is about 3459.3872289757. The cubic root of 11967360 is about 228.7350851752.

The spelling of 11967360 in words is "eleven million, nine hundred sixty-seven thousand, three hundred sixty".