11527488 has 112 divisors (see below), whose sum is σ = 38770560. Its totient is φ = 3290112.

The previous prime is 11527459. The next prime is 11527493. The reversal of 11527488 is 88472511.

11527488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11620 + ... + 12572.

Almost surely, 2^11527488 is an apocalyptic number.

11527488 is a gapful number since it is divisible by the number (18) 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 11527488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385280).

11527488 is an abundant number, since it is smaller than the sum of its proper divisors (27243072).

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

11527488 is an equidigital number, since it uses as much as digits as its factorization.

11527488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 965 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 11527488 is about 3395.2154570807. The cubic root of 11527488 is about 225.8975702064.

Adding to 11527488 its reverse (88472511), we get a palindrome (99999999).

The spelling of 11527488 in words is "eleven million, five hundred twenty-seven thousand, four hundred eighty-eight".