11567960 has 64 divisors (see below), whose sum is σ = 28339200. Its totient is φ = 4233600.

The previous prime is 11567957. The next prime is 11567977. The reversal of 11567960 is 6976511.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11567960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23315 + ... + 23805.

It is an arithmetic number, because the mean of its divisors is an integer number (442800).

Almost surely, 2^11567960 is an apocalyptic number.

11567960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11567960 is the 1964-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11567960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169600).

11567960 is an abundant number, since it is smaller than the sum of its proper divisors (16771240).

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

11567960 is a wasteful number, since it uses less digits than its factorization.

11567960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 11567960 is about 3401.1703867933. The cubic root of 11567960 is about 226.1616302730.

The spelling of 11567960 in words is "eleven million, five hundred sixty-seven thousand, nine hundred sixty".