11589648 has 80 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 3115008.

The previous prime is 11589637. The next prime is 11589659. The reversal of 11589648 is 84698511.

It is an interprime number because it is at equal distance from previous prime (11589637) and next prime (11589659).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4698 + ... + 6726.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 2^11589648 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 11589648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

11589648 is an abundant number, since it is smaller than the sum of its proper divisors (24658032).

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

11589648 is a wasteful number, since it uses less digits than its factorization.

11589648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2058 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 11589648 is about 3404.3572080497. The cubic root of 11589648 is about 226.3028805101.

The spelling of 11589648 in words is "eleven million, five hundred eighty-nine thousand, six hundred forty-eight".