11726640 has 160 divisors (see below), whose sum is σ = 41515200. Its totient is φ = 3041280.

The previous prime is 11726609. The next prime is 11726683. The reversal of 11726640 is 4662711.

11726640 is a `hidden beast` number, since 1 + 17 + 2 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131716 + ... + 131804.

It is an arithmetic number, because the mean of its divisors is an integer number (259470).

Almost surely, 2^11726640 is an apocalyptic number.

11726640 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 11726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).

11726640 is an abundant number, since it is smaller than the sum of its proper divisors (29788560).

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

11726640 is a wasteful number, since it uses less digits than its factorization.

11726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11726640 is about 3424.4181987602. The cubic root of 11726640 is about 227.1910389576.

The spelling of 11726640 in words is "eleven million, seven hundred twenty-six thousand, six hundred forty".