11552960 has 56 divisors (see below), whose sum is σ = 27919680. Its totient is φ = 4552704.

The previous prime is 11552953. The next prime is 11552963. The reversal of 11552960 is 6925511.

It is not an unprimeable number, because it can be changed into a prime (11552963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25052 + ... + 25508.

Almost surely, 2^11552960 is an apocalyptic number.

11552960 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 11552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959840).

11552960 is an abundant number, since it is smaller than the sum of its proper divisors (16366720).

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

11552960 is an equidigital number, since it uses as much as digits as its factorization.

11552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 11552960 is about 3398.9645482117. The cubic root of 11552960 is about 226.0638345276.

The spelling of 11552960 in words is "eleven million, five hundred fifty-two thousand, nine hundred sixty".