11370240 has 288 divisors, whose sum is σ = 47093760. Its totient is φ = 2543616.

The previous prime is 11370223. The next prime is 11370241. The reversal of 11370240 is 4207311.

11370240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11370241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241897 + ... + 241943.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 2^11370240 is an apocalyptic number.

11370240 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 11370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

11370240 is an abundant number, since it is smaller than the sum of its proper divisors (35723520).

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

11370240 is an equidigital number, since it uses as much as digits as its factorization.

11370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11370240 is about 3371.9786476192. The cubic root of 11370240 is about 224.8656976287.

Adding to 11370240 its reverse (4207311), we get a palindrome (15577551).

The spelling of 11370240 in words is "eleven million, three hundred seventy thousand, two hundred forty".