586978560 has 432 divisors, whose sum is σ = 2410611840. Its totient is φ = 129024000.

The previous prime is 586978547. The next prime is 586978621. The reversal of 586978560 is 65879685.

586978560 is a `hidden beast` number, since 5 + 8 + 6 + 9 + 78 + 560 = 666.

586978560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 586978497 and 586978506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338435 + ... + 2338685.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^586978560 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 586978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205305920).

586978560 is an abundant number, since it is smaller than the sum of its proper divisors (1823633280).

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

586978560 is a wasteful number, since it uses less digits than its factorization.

586978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 586978560 is about 24227.6404133791. The cubic root of 586978560 is about 837.2864818427.

The spelling of 586978560 in words is "five hundred eighty-six million, nine hundred seventy-eight thousand, five hundred sixty".