601208960 has 256 divisors, whose sum is σ = 1692057600. Its totient is φ = 202076160.

The previous prime is 601208957. The next prime is 601208969. The reversal of 601208960 is 69802106.

It is a super-2 number, since 2×601208960² = 722904427168563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (601208969) 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 31 ways as a sum of consecutive naturals, for example, 7610201 + ... + 7610279.

It is an arithmetic number, because the mean of its divisors is an integer number (6609600).

Almost surely, 2^601208960 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 601208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846028800).

601208960 is an abundant number, since it is smaller than the sum of its proper divisors (1090848640).

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

601208960 is a wasteful number, since it uses less digits than its factorization.

601208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 601208960 is about 24519.5628019751. The cubic root of 601208960 is about 843.9987721132.

The spelling of 601208960 in words is "six hundred one million, two hundred eight thousand, nine hundred sixty".