11985360 has 40 divisors (see below), whose sum is σ = 37155360. Its totient is φ = 3196032.

The previous prime is 11985353. The next prime is 11985361. The reversal of 11985360 is 6358911.

11985360 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 a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11985361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24730 + ... + 25209.

It is an arithmetic number, because the mean of its divisors is an integer number (928884).

Almost surely, 2^11985360 is an apocalyptic number.

11985360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11985360 is an abundant number, since it is smaller than the sum of its proper divisors (25170000).

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

11985360 is a wasteful number, since it uses less digits than its factorization.

11985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49955 (or 49949 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 11985360 is about 3461.9878682630. The cubic root of 11985360 is about 228.8497071979.

The spelling of 11985360 in words is "eleven million, nine hundred eighty-five thousand, three hundred sixty".