11553080 has 128 divisors (see below), whose sum is σ = 33730560. Its totient is φ = 3484800.

The previous prime is 11553079. The next prime is 11553089. The reversal of 11553080 is 8035511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372665 + ... + 372695.

It is an arithmetic number, because the mean of its divisors is an integer number (263520).

Almost surely, 2^11553080 is an apocalyptic number.

11553080 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 11553080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865280).

11553080 is an abundant number, since it is smaller than the sum of its proper divisors (22177480).

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

11553080 is a wasteful number, since it uses less digits than its factorization.

11553080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 11553080 is about 3398.9822006006. The cubic root of 11553080 is about 226.0646172293.

Adding to 11553080 its reverse (8035511), we get a palindrome (19588591).

The spelling of 11553080 in words is "eleven million, five hundred fifty-three thousand, eighty".