11706240 has 256 divisors, whose sum is σ = 46609920. Its totient is φ = 2433024.

The previous prime is 11706209. The next prime is 11706271. The reversal of 11706240 is 4260711.

It is an interprime number because it is at equal distance from previous prime (11706209) and next prime (11706271).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174687 + ... + 174753.

It is an arithmetic number, because the mean of its divisors is an integer number (182070).

Almost surely, 2^11706240 is an apocalyptic number.

11706240 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 11706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304960).

11706240 is an abundant number, since it is smaller than the sum of its proper divisors (34903680).

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

11706240 is a wasteful number, since it uses less digits than its factorization.

11706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11706240 is about 3421.4382940512. The cubic root of 11706240 is about 227.0592198020.

Adding to 11706240 its reverse (4260711), we get a palindrome (15966951).

The spelling of 11706240 in words is "eleven million, seven hundred six thousand, two hundred forty".