11582016 has 56 divisors (see below), whose sum is σ = 30906720. Its totient is φ = 3827712.

The previous prime is 11581993. The next prime is 11582027. The reversal of 11582016 is 61028511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34200 + ... + 34536.

Almost surely, 2^11582016 is an apocalyptic number.

11582016 is a gapful number since it is divisible by the number (16) 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 11582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453360).

11582016 is an abundant number, since it is smaller than the sum of its proper divisors (19324704).

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

11582016 is a wasteful number, since it uses less digits than its factorization.

11582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11582016 is about 3403.2361070017. The cubic root of 11582016 is about 226.2531947088.

The spelling of 11582016 in words is "eleven million, five hundred eighty-two thousand, sixteen".