11726568 has 96 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 3279744.

The previous prime is 11726567. The next prime is 11726581. The reversal of 11726568 is 86562711.

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

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (504).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (11726563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26493 + ... + 26931.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 2^11726568 is an apocalyptic number.

11726568 is a gapful number since it is divisible by the number (18) 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 11726568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

11726568 is an abundant number, since it is smaller than the sum of its proper divisors (25339032).

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

11726568 is a wasteful number, since it uses less digits than its factorization.

11726568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11726568 is about 3424.4076860094. The cubic root of 11726568 is about 227.1905739824.

The spelling of 11726568 in words is "eleven million, seven hundred twenty-six thousand, five hundred sixty-eight".