11582484 has 48 divisors (see below), whose sum is σ = 28365120. Its totient is φ = 3673600.

The previous prime is 11582477. The next prime is 11582489. The reversal of 11582484 is 48428511.

It is a super-2 number, since 2×11582484² = 268307871220512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11582489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28684 + ... + 29084.

It is an arithmetic number, because the mean of its divisors is an integer number (590940).

Almost surely, 2^11582484 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 11582484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182560).

11582484 is an abundant number, since it is smaller than the sum of its proper divisors (16782636).

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

11582484 is a wasteful number, since it uses less digits than its factorization.

11582484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 11582484 is about 3403.3048643928. The cubic root of 11582484 is about 226.2562421077.

The spelling of 11582484 in words is "eleven million, five hundred eighty-two thousand, four hundred eighty-four".