11591440 has 60 divisors (see below), whose sum is σ = 31360716. Its totient is φ = 3972864.

The previous prime is 11591423. The next prime is 11591453. The reversal of 11591440 is 4419511.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 8479744 = 1764^2 + 2912^2 .

It is a super-2 number, since 2×11591440² = 268722962547200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2442 + ... + 5398.

Almost surely, 2^11591440 is an apocalyptic number.

11591440 is a gapful number since it is divisible by the number (10) 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 11591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680358).

11591440 is an abundant number, since it is smaller than the sum of its proper divisors (19769276).

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

11591440 is a wasteful number, since it uses less digits than its factorization.

11591440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 11591440 is about 3404.6203899994. The cubic root of 11591440 is about 226.3145436156.

The spelling of 11591440 in words is "eleven million, five hundred ninety-one thousand, four hundred forty".