126868240 has 40 divisors (see below), whose sum is σ = 298027800. Its totient is φ = 50221056.

The previous prime is 126868211. The next prime is 126868241. The reversal of 126868240 is 42868621.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 125350416 = 1232^2 + 11196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 126868240.

It is not an unprimeable number, because it can be changed into a prime (126868241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415 + ... + 15934.

It is an arithmetic number, because the mean of its divisors is an integer number (7450695).

Almost surely, 2^126868240 is an apocalyptic number.

126868240 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 126868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149013900).

126868240 is an abundant number, since it is smaller than the sum of its proper divisors (171159560).

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

126868240 is a wasteful number, since it uses less digits than its factorization.

126868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16459 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 126868240 is about 11263.5802478608. The cubic root of 126868240 is about 502.4786786660.

The spelling of 126868240 in words is "one hundred twenty-six million, eight hundred sixty-eight thousand, two hundred forty".