1020668688 has 200 divisors, whose sum is σ = 3292627800. Its totient is φ = 303077376.

The previous prime is 1020668681. The next prime is 1020668689. The reversal of 1020668688 is 8868660201.

It can be written as a sum of positive squares in 4 ways, for example, as 174556944 + 846111744 = 13212^2 + 29088^2 .

It is not an unprimeable number, because it can be changed into a prime (1020668681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 487548 + ... + 489636.

It is an arithmetic number, because the mean of its divisors is an integer number (16463139).

Almost surely, 2^1020668688 is an apocalyptic number.

1020668688 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 1020668688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646313900).

1020668688 is an abundant number, since it is smaller than the sum of its proper divisors (2271959112).

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

1020668688 is a wasteful number, since it uses less digits than its factorization.

1020668688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1020668688 is about 31947.9058468626. The cubic root of 1020668688 is about 1006.8426342290.

The spelling of 1020668688 in words is "one billion, twenty million, six hundred sixty-eight thousand, six hundred eighty-eight".