11726496 has 72 divisors (see below), whose sum is σ = 35118720. Its totient is φ = 3701376.

The previous prime is 11726483. The next prime is 11726497. The reversal of 11726496 is 69462711.

11726496 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 649 + 6 = 666.

11726496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11726496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11726497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4401 + ... + 6543.

It is an arithmetic number, because the mean of its divisors is an integer number (487760).

Almost surely, 2^11726496 is an apocalyptic number.

11726496 is a gapful number since it is divisible by the number (16) 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 11726496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559360).

11726496 is an abundant number, since it is smaller than the sum of its proper divisors (23392224).

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

11726496 is a wasteful number, since it uses less digits than its factorization.

11726496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2167 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11726496 is about 3424.3971732263. The cubic root of 11726496 is about 227.1901090054.

The spelling of 11726496 in words is "eleven million, seven hundred twenty-six thousand, four hundred ninety-six".