126056340 has 72 divisors (see below), whose sum is σ = 383285448. Its totient is φ = 33534720.

The previous prime is 126056339. The next prime is 126056347. The reversal of 126056340 is 43650621.

126056340 is a `hidden beast` number, since 1 + 2 + 60 + 563 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 125484804 = 756^2 + 11202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126056347) 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, 147354 + ... + 148206.

It is an arithmetic number, because the mean of its divisors is an integer number (5323409).

Almost surely, 2^126056340 is an apocalyptic number.

126056340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126056340 is an abundant number, since it is smaller than the sum of its proper divisors (257229108).

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

126056340 is a wasteful number, since it uses less digits than its factorization.

126056340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126056340 is about 11227.4814629105. The cubic root of 126056340 is about 501.4045043742.

It can be divided in two parts, 1260 and 56340, that added together give a square (57600 = 240²).

The spelling of 126056340 in words is "one hundred twenty-six million, fifty-six thousand, three hundred forty".