11985280 has 64 divisors (see below), whose sum is σ = 29216880. Its totient is φ = 4700160.

The previous prime is 11985271. The next prime is 11985301. The reversal of 11985280 is 8258911.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38887 + ... + 39193.

Almost surely, 2^11985280 is an apocalyptic number.

11985280 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 11985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608440).

11985280 is an abundant number, since it is smaller than the sum of its proper divisors (17231600).

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

11985280 is an equidigital number, since it uses as much as digits as its factorization.

11985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 11985280 is about 3461.9763141882. The cubic root of 11985280 is about 228.8491980206.

It can be divided in two parts, 1 and 1985280, that added together give a square (1985281 = 1409²).

The spelling of 11985280 in words is "eleven million, nine hundred eighty-five thousand, two hundred eighty".