601126240 has 288 divisors, whose sum is σ = 1753145856. Its totient is φ = 192890880.

The previous prime is 601126219. The next prime is 601126241. The reversal of 601126240 is 42621106.

It is a super-2 number, since 2×601126240² = 722705512833075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601126241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12789897 + ... + 12789943.

It is an arithmetic number, because the mean of its divisors is an integer number (6087312).

Almost surely, 2^601126240 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 601126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876572928).

601126240 is an abundant number, since it is smaller than the sum of its proper divisors (1152019616).

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

601126240 is a wasteful number, since it uses less digits than its factorization.

601126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 601126240 is about 24517.8759275758. The cubic root of 601126240 is about 843.9600619003.

Adding to 601126240 its reverse (42621106), we get a palindrome (643747346).

The spelling of 601126240 in words is "six hundred one million, one hundred twenty-six thousand, two hundred forty".