11553040 has 20 divisors (see below), whose sum is σ = 26861004. Its totient is φ = 4621184.

The previous prime is 11553037. The next prime is 11553041. The reversal of 11553040 is 4035511.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 9659664 = 1376^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11552999 and 11553017.

It is not an unprimeable number, because it can be changed into a prime (11553041) 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 3 ways as a sum of consecutive naturals, for example, 72127 + ... + 72286.

Almost surely, 2^11553040 is an apocalyptic number.

11553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11553040 is an abundant number, since it is smaller than the sum of its proper divisors (15307964).

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

11553040 is a wasteful number, since it uses less digits than its factorization.

11553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144426 (or 144420 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 11553040 is about 3398.9763164812. The cubic root of 11553040 is about 226.0643563294.

Adding to 11553040 its reverse (4035511), we get a palindrome (15588551).

The spelling of 11553040 in words is "eleven million, five hundred fifty-three thousand, forty".