126306240 has 112 divisors (see below), whose sum is σ = 410931360. Its totient is φ = 32849920.

The previous prime is 126306233. The next prime is 126306251. The reversal of 126306240 is 42603621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126306240.

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 15 ways as a sum of consecutive naturals, for example, 37756 + ... + 40964.

It is an arithmetic number, because the mean of its divisors is an integer number (3669030).

Almost surely, 2^126306240 is an apocalyptic number.

126306240 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 126306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205465680).

126306240 is an abundant number, since it is smaller than the sum of its proper divisors (284625120).

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

126306240 is a wasteful number, since it uses less digits than its factorization.

126306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126306240 is about 11238.6048956265. The cubic root of 126306240 is about 501.7356215975.

Adding to 126306240 its reverse (42603621), we get a palindrome (168909861).

The spelling of 126306240 in words is "one hundred twenty-six million, three hundred six thousand, two hundred forty".