11490880 has 56 divisors (see below), whose sum is σ = 27660600. Its totient is φ = 4546560.

The previous prime is 11490859. The next prime is 11490887. The reversal of 11490880 is 8809411.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 10863616 = 792^2 + 3296^2 .

It is not an unprimeable number, because it can be changed into a prime (11490887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47560 + ... + 47800.

Almost surely, 2^11490880 is an apocalyptic number.

11490880 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 11490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830300).

11490880 is an abundant number, since it is smaller than the sum of its proper divisors (16169720).

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

11490880 is a wasteful number, since it uses less digits than its factorization.

11490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 11490880 is about 3389.8200542212. The cubic root of 11490880 is about 225.6581879649.

The spelling of 11490880 in words is "eleven million, four hundred ninety thousand, eight hundred eighty".