11486960 has 40 divisors (see below), whose sum is σ = 26925360. Its totient is φ = 4557312.

The previous prime is 11486933. The next prime is 11486989. The reversal of 11486960 is 6968411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11486960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10604 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (673134).

Almost surely, 2^11486960 is an apocalyptic number.

11486960 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 11486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462680).

11486960 is an abundant number, since it is smaller than the sum of its proper divisors (15438400).

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

11486960 is a wasteful number, since it uses less digits than its factorization.

11486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 11486960 is about 3389.2418031176. The cubic root of 11486960 is about 225.6325246939.

The spelling of 11486960 in words is "eleven million, four hundred eighty-six thousand, nine hundred sixty".