1006980688 has 160 divisors (see below), whose sum is σ = 2431272960. Its totient is φ = 394813440.

The previous prime is 1006980661. The next prime is 1006980691. The reversal of 1006980688 is 8860896001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7350156 + ... + 7350292.

It is an arithmetic number, because the mean of its divisors is an integer number (15195456).

Almost surely, 2^1006980688 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 1006980688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215636480).

1006980688 is an abundant number, since it is smaller than the sum of its proper divisors (1424292272).

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

1006980688 is a wasteful number, since it uses less digits than its factorization.

1006980688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1006980688 is about 31732.9590174002. The cubic root of 1006980688 is about 1002.3215024559.

The spelling of 1006980688 in words is "one billion, six million, nine hundred eighty thousand, six hundred eighty-eight".