601258560 has 224 divisors, whose sum is σ = 2201582592. Its totient is φ = 136181760.

The previous prime is 601258549. The next prime is 601258577. The reversal of 601258560 is 65852106.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879979 + ... + 880661.

Almost surely, 2^601258560 is an apocalyptic number.

601258560 is a gapful number since it is divisible by the number (60) 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 601258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100791296).

601258560 is an abundant number, since it is smaller than the sum of its proper divisors (1600324032).

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

601258560 is a wasteful number, since it uses less digits than its factorization.

601258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 601258560 is about 24520.5742183987. The cubic root of 601258560 is about 844.0219815633.

The spelling of 601258560 in words is "six hundred one million, two hundred fifty-eight thousand, five hundred sixty".