126126240 has 96 divisors (see below), whose sum is σ = 400619520. Its totient is φ = 33352704.

The previous prime is 126126233. The next prime is 126126241. The reversal of 126126240 is 42621621.

It is a tau number, because it is divible by the number of its divisors (96).

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 126126240.

It is not an unprimeable number, because it can be changed into a prime (126126241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59926 + ... + 61994.

It is an arithmetic number, because the mean of its divisors is an integer number (4173120).

Almost surely, 2^126126240 is an apocalyptic number.

126126240 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 126126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

126126240 is an abundant number, since it is smaller than the sum of its proper divisors (274493280).

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

126126240 is a wasteful number, since it uses less digits than its factorization.

126126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126126240 is about 11230.5939290850. The cubic root of 126126240 is about 501.4971658476.

Adding to 126126240 its reverse (42621621), we get a palindrome (168747861).

The spelling of 126126240 in words is "one hundred twenty-six million, one hundred twenty-six thousand, two hundred forty".