11124960 has 288 divisors, whose sum is σ = 45505152. Its totient is φ = 2257920.

The previous prime is 11124941. The next prime is 11124977. The reversal of 11124960 is 6942111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11124960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258699 + ... + 258741.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

Almost surely, 2^11124960 is an apocalyptic number.

11124960 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 11124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

11124960 is an abundant number, since it is smaller than the sum of its proper divisors (34380192).

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

11124960 is a wasteful number, since it uses less digits than its factorization.

11124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11124960 is about 3335.4100197727. The cubic root of 11124960 is about 223.2369872286.

The spelling of 11124960 in words is "eleven million, one hundred twenty-four thousand, nine hundred sixty".