11225760 has 192 divisors, whose sum is σ = 43690752. Its totient is φ = 2359296.

The previous prime is 11225741. The next prime is 11225777. The reversal of 11225760 is 6752211.

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 11225760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43552 + ... + 43808.

It is an arithmetic number, because the mean of its divisors is an integer number (227556).

Almost surely, 2^11225760 is an apocalyptic number.

11225760 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 11225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845376).

11225760 is an abundant number, since it is smaller than the sum of its proper divisors (32464992).

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

11225760 is a wasteful number, since it uses less digits than its factorization.

11225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11225760 is about 3350.4865318338. The cubic root of 11225760 is about 223.9091893804.

Adding to 11225760 its reverse (6752211), we get a palindrome (17977971).

The spelling of 11225760 in words is "eleven million, two hundred twenty-five thousand, seven hundred sixty".