11580240 has 160 divisors (see below), whose sum is σ = 42068736. Its totient is φ = 2580480.

The previous prime is 11580227. The next prime is 11580271. The reversal of 11580240 is 4208511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102424 + ... + 102536.

Almost surely, 2^11580240 is an apocalyptic number.

11580240 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 11580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034368).

11580240 is an abundant number, since it is smaller than the sum of its proper divisors (30488496).

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

11580240 is a wasteful number, since it uses less digits than its factorization.

11580240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 11580240 is about 3402.9751688780. The cubic root of 11580240 is about 226.2416294737.

Adding to 11580240 its reverse (4208511), we get a palindrome (15788751).

The spelling of 11580240 in words is "eleven million, five hundred eighty thousand, two hundred forty".