11706080 has 48 divisors (see below), whose sum is σ = 28867104. Its totient is φ = 4477440.

The previous prime is 11706067. The next prime is 11706089. The reversal of 11706080 is 8060711.

11706080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11706080³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11706089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2090 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (601398).

Almost surely, 2^11706080 is an apocalyptic number.

11706080 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 11706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433552).

11706080 is an abundant number, since it is smaller than the sum of its proper divisors (17161024).

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

11706080 is a wasteful number, since it uses less digits than its factorization.

11706080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 11706080 is about 3421.4149119918. The cubic root of 11706080 is about 227.0581853212.

Adding to 11706080 its reverse (8060711), we get a palindrome (19766791).

The spelling of 11706080 in words is "eleven million, seven hundred six thousand, eighty".