1020580668 has 96 divisors (see below), whose sum is σ = 2798208000. Its totient is φ = 320785920.

The previous prime is 1020580663. The next prime is 1020580681. The reversal of 1020580668 is 8660850201.

It is a happy number.

1020580668 is a `hidden beast` number, since 10 + 2 + 0 + 580 + 6 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020580663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489388 + ... + 491468.

It is an arithmetic number, because the mean of its divisors is an integer number (29148000).

Almost surely, 2^1020580668 is an apocalyptic number.

1020580668 is a gapful number since it is divisible by the number (18) 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 1020580668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399104000).

1020580668 is an abundant number, since it is smaller than the sum of its proper divisors (1777627332).

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

1020580668 is a wasteful number, since it uses less digits than its factorization.

1020580668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1020580668 is about 31946.5282620819. The cubic root of 1020580668 is about 1006.8136908388.

The spelling of 1020580668 in words is "one billion, twenty million, five hundred eighty thousand, six hundred sixty-eight".