11887488 has 96 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 3723264.

The previous prime is 11887457. The next prime is 11887489. The reversal of 11887488 is 88478811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19281 + ... + 19887.

It is an arithmetic number, because the mean of its divisors is an integer number (377910).

Almost surely, 2^11887488 is an apocalyptic number.

11887488 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 11887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

11887488 is an abundant number, since it is smaller than the sum of its proper divisors (24391872).

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

11887488 is a wasteful number, since it uses less digits than its factorization.

11887488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its digits is 114688, while the sum is 45.

The square root of 11887488 is about 3447.8236613841. The cubic root of 11887488 is about 228.2250778261.

The spelling of 11887488 in words is "eleven million, eight hundred eighty-seven thousand, four hundred eighty-eight".