11290240 has 128 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 3919872.

The previous prime is 11290229. The next prime is 11290247. The reversal of 11290240 is 4209211.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11290247) 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, 191331 + ... + 191389.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^11290240 is an apocalyptic number.

11290240 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 11290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

11290240 is an abundant number, since it is smaller than the sum of its proper divisors (19554560).

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

11290240 is a wasteful number, since it uses less digits than its factorization.

11290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11290240 is about 3360.0952367455. The cubic root of 11290240 is about 224.3370775418.

Adding to 11290240 its reverse (4209211), we get a palindrome (15499451).

The spelling of 11290240 in words is "eleven million, two hundred ninety thousand, two hundred forty".