601468560 has 480 divisors, whose sum is σ = 2655544320. Its totient is φ = 118195200.

The previous prime is 601468537. The next prime is 601468573. The reversal of 601468560 is 65864106.

601468560 is a `hidden beast` number, since 601 + 46 + 8 + 5 + 6 + 0 = 666.

601468560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1053075 + ... + 1053645.

It is an arithmetic number, because the mean of its divisors is an integer number (5532384).

Almost surely, 2^601468560 is an apocalyptic number.

601468560 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 601468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327772160).

601468560 is an abundant number, since it is smaller than the sum of its proper divisors (2054075760).

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

601468560 is a wasteful number, since it uses less digits than its factorization.

601468560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 601468560 is about 24524.8559628798. The cubic root of 601468560 is about 844.1202332399.

The spelling of 601468560 in words is "six hundred one million, four hundred sixty-eight thousand, five hundred sixty".