1008965980 has 96 divisors (see below), whose sum is σ = 2457604800. Its totient is φ = 343879680.

The previous prime is 1008965957. The next prime is 1008965989. The reversal of 1008965980 is 895698001.

1008965980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1008965980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008965989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304874 + ... + 1305646.

It is an arithmetic number, because the mean of its divisors is an integer number (25600050).

Almost surely, 2^1008965980 is an apocalyptic number.

1008965980 is a gapful number since it is divisible by the number (10) 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 1008965980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228802400).

1008965980 is an abundant number, since it is smaller than the sum of its proper divisors (1448638820).

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

1008965980 is a wasteful number, since it uses less digits than its factorization.

1008965980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 1008965980 is about 31764.2248449415. The cubic root of 1008965980 is about 1002.9797721388.

The spelling of 1008965980 in words is "one billion, eight million, nine hundred sixty-five thousand, nine hundred eighty".