601360320 has 336 divisors, whose sum is σ = 2179344384. Its totient is φ = 140236800.

The previous prime is 601360259. The next prime is 601360321. The reversal of 601360320 is 23063106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601360321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3600877 + ... + 3601043.

It is an arithmetic number, because the mean of its divisors is an integer number (6486144).

Almost surely, 2^601360320 is an apocalyptic number.

601360320 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 601360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089672192).

601360320 is an abundant number, since it is smaller than the sum of its proper divisors (1577984064).

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

601360320 is a wasteful number, since it uses less digits than its factorization.

601360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 601360320 is about 24522.6491228007. The cubic root of 601360320 is about 844.0695943750.

The spelling of 601360320 in words is "six hundred one million, three hundred sixty thousand, three hundred twenty".