11457126 has 40 divisors (see below), whose sum is σ = 25874640. Its totient is φ = 3789072.

The previous prime is 11457109. The next prime is 11457157. The reversal of 11457126 is 62175411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11457126.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 31735 + ... + 32093.

It is an arithmetic number, because the mean of its divisors is an integer number (646866).

Almost surely, 2^11457126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11457126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12937320).

11457126 is an abundant number, since it is smaller than the sum of its proper divisors (14417514).

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

11457126 is a wasteful number, since it uses less digits than its factorization.

11457126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 11457126 is about 3384.8376622816. The cubic root of 11457126 is about 225.4370172988.

The spelling of 11457126 in words is "eleven million, four hundred fifty-seven thousand, one hundred twenty-six".