11587216 has 45 divisors (see below), whose sum is σ = 24120201. Its totient is φ = 5391936.

The previous prime is 11587189. The next prime is 11587229. The reversal of 11587216 is 61278511.

The square root of 11587216 is 3404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10368400 + 1218816 = 3220^2 + 1104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 313150 + ... + 313186.

Almost surely, 2^11587216 is an apocalyptic number.

11587216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11587216 is the 3404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11587216

11587216 is an abundant number, since it is smaller than the sum of its proper divisors (12532985).

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

11587216 is an equidigital number, since it uses as much as digits as its factorization.

11587216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 62 counting only the distinct ones).

The product of its digits is 3360, while the sum is 31.

The cubic root of 11587216 is about 226.2870500866.

The spelling of 11587216 in words is "eleven million, five hundred eighty-seven thousand, two hundred sixteen".