11706720 has 96 divisors (see below), whose sum is σ = 38193120. Its totient is φ = 3014144.

The previous prime is 11706703. The next prime is 11706731. The reversal of 11706720 is 2760711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 290 × 174 × 232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403666 + ... + 403694.

It is an arithmetic number, because the mean of its divisors is an integer number (397845).

Almost surely, 2^11706720 is an apocalyptic number.

11706720 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 11706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096560).

11706720 is an abundant number, since it is smaller than the sum of its proper divisors (26486400).

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

11706720 is an frugal number, since it uses more digits than its factorization.

11706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 11706720 is about 3421.5084392706. The cubic root of 11706720 is about 227.0623231878.

The spelling of 11706720 in words is "eleven million, seven hundred six thousand, seven hundred twenty".