601058560 has 144 divisors (see below), whose sum is σ = 1499936256. Its totient is φ = 230621184.

The previous prime is 601058543. The next prime is 601058561. The reversal of 601058560 is 65850106.

It is a super-2 number, since 2×601058560² = 722542785098547200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601058561) by changing a digit.

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, 5835469 + ... + 5835571.

It is an arithmetic number, because the mean of its divisors is an integer number (10416224).

Almost surely, 2^601058560 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 601058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749968128).

601058560 is an abundant number, since it is smaller than the sum of its proper divisors (898877696).

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

601058560 is a wasteful number, since it uses less digits than its factorization.

601058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 601058560 is about 24516.4956712822. The cubic root of 601058560 is about 843.9283872664.

The spelling of 601058560 in words is "six hundred one million, fifty-eight thousand, five hundred sixty".