11426000 has 80 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 4390400.

The previous prime is 11425993. The next prime is 11426021. The reversal of 11426000 is 62411.

It can be written as a sum of positive squares in 8 ways, for example, as 824464 + 10601536 = 908^2 + 3256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57902 + ... + 58098.

It is an arithmetic number, because the mean of its divisors is an integer number (359073).

Almost surely, 2^11426000 is an apocalyptic number.

11426000 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 11426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

11426000 is an abundant number, since it is smaller than the sum of its proper divisors (17299840).

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

11426000 is a wasteful number, since it uses less digits than its factorization.

11426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11426000 is about 3380.2366781041. The cubic root of 11426000 is about 225.2326811033.

Adding to 11426000 its reverse (62411), we get a palindrome (11488411).

The spelling of 11426000 in words is "eleven million, four hundred twenty-six thousand".