601082560 has 224 divisors, whose sum is σ = 1638604800. Its totient is φ = 208465920.

The previous prime is 601082557. The next prime is 601082567. The reversal of 601082560 is 65280106.

It is a super-2 number, since 2×601082560² = 722600487872307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601082567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7608601 + ... + 7608679.

It is an arithmetic number, because the mean of its divisors is an integer number (7315200).

Almost surely, 2^601082560 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 601082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

601082560 is an abundant number, since it is smaller than the sum of its proper divisors (1037522240).

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

601082560 is a wasteful number, since it uses less digits than its factorization.

601082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 601082560 is about 24516.9851327605. The cubic root of 601082560 is about 843.9396196781.

The spelling of 601082560 in words is "six hundred one million, eighty-two thousand, five hundred sixty".