126240864 has 96 divisors (see below), whose sum is σ = 354372480. Its totient is φ = 39232512.

The previous prime is 126240791. The next prime is 126240869. The reversal of 126240864 is 468042621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126240869) 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, 121692 + ... + 122724.

It is an arithmetic number, because the mean of its divisors is an integer number (3691380).

Almost surely, 2^126240864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177186240).

126240864 is an abundant number, since it is smaller than the sum of its proper divisors (228131616).

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

126240864 is a wasteful number, since it uses less digits than its factorization.

126240864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 126240864 is about 11235.6959731029. The cubic root of 126240864 is about 501.6490406839.

The spelling of 126240864 in words is "one hundred twenty-six million, two hundred forty thousand, eight hundred sixty-four".