601281568 has 48 divisors (see below), whose sum is σ = 1260849240. Its totient is φ = 281276416.

The previous prime is 601281533. The next prime is 601281587. The reversal of 601281568 is 865182106.

It can be written as a sum of positive squares in 4 ways, for example, as 522213904 + 79067664 = 22852^2 + 8892^2 .

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 7 ways as a sum of consecutive naturals, for example, 90918 + ... + 97306.

Almost surely, 2^601281568 is an apocalyptic number.

601281568 is a gapful number since it is divisible by the number (68) 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 601281568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630424620).

601281568 is an abundant number, since it is smaller than the sum of its proper divisors (659567672).

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

601281568 is a wasteful number, since it uses less digits than its factorization.

601281568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 601281568 is about 24521.0433709498. The cubic root of 601281568 is about 844.0327473199.

The spelling of 601281568 in words is "six hundred one million, two hundred eighty-one thousand, five hundred sixty-eight".