11406240 has 108 divisors (see below), whose sum is σ = 39366054. Its totient is φ = 3007488.

The previous prime is 11406217. The next prime is 11406247. The reversal of 11406240 is 4260411.

11406240 is a `hidden beast` number, since 1 + 1 + 40 + 624 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5588496 + 5817744 = 2364^2 + 2412^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11406247) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128116 + ... + 128204.

Almost surely, 2^11406240 is an apocalyptic number.

11406240 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 11406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683027).

11406240 is an abundant number, since it is smaller than the sum of its proper divisors (27959814).

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

11406240 is an equidigital number, since it uses as much as digits as its factorization.

11406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11406240 is about 3377.3125410598. The cubic root of 11406240 is about 225.1027678688.

Adding to 11406240 its reverse (4260411), we get a palindrome (15666651).

The spelling of 11406240 in words is "eleven million, four hundred six thousand, two hundred forty".