11706480 has 120 divisors (see below), whose sum is σ = 40042080. Its totient is φ = 3064320.

The previous prime is 11706473. The next prime is 11706503. The reversal of 11706480 is 8460711.

It is a happy number.

11706480 is a `hidden beast` number, since 1 + 17 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51006 + ... + 51234.

It is an arithmetic number, because the mean of its divisors is an integer number (333684).

Almost surely, 2^11706480 is an apocalyptic number.

11706480 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 11706480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021040).

11706480 is an abundant number, since it is smaller than the sum of its proper divisors (28335600).

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

11706480 is a wasteful number, since it uses less digits than its factorization.

11706480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11706480 is about 3421.4733668407. The cubic root of 11706480 is about 227.0607715055.

The spelling of 11706480 in words is "eleven million, seven hundred six thousand, four hundred eighty".