660586680 has 576 divisors, whose sum is σ = 2696016960. Its totient is φ = 138682368.

The previous prime is 660586607. The next prime is 660586687. The reversal of 660586680 is 86685066.

660586680 is a `hidden beast` number, since 6 + 6 + 0 + 586 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660586687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28721149 + ... + 28721171.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2^660586680 is an apocalyptic number.

660586680 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 660586680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348008480).

660586680 is an abundant number, since it is smaller than the sum of its proper divisors (2035430280).

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

660586680 is a wasteful number, since it uses less digits than its factorization.

660586680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 660586680 is about 25701.8808650262. The cubic root of 660586680 is about 870.9166715468.

The spelling of 660586680 in words is "six hundred sixty million, five hundred eighty-six thousand, six hundred eighty".