11553888 has 48 divisors (see below), whose sum is σ = 30841776. Its totient is φ = 3786240.

The previous prime is 11553887. The next prime is 11553937. The reversal of 11553888 is 88835511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4870 + ... + 6842.

It is an arithmetic number, because the mean of its divisors is an integer number (642537).

Almost surely, 2^11553888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11553888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420888).

11553888 is an abundant number, since it is smaller than the sum of its proper divisors (19287888).

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

11553888 is a wasteful number, since it uses less digits than its factorization.

11553888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its digits is 38400, while the sum is 39.

The square root of 11553888 is about 3399.1010576327. The cubic root of 11553888 is about 226.0698872801.

The spelling of 11553888 in words is "eleven million, five hundred fifty-three thousand, eight hundred eighty-eight".