1008812980 has 144 divisors (see below), whose sum is σ = 2747545920. Its totient is φ = 308302848.

The previous prime is 1008812977. The next prime is 1008812983. The reversal of 1008812980 is 892188001.

It is an interprime number because it is at equal distance from previous prime (1008812977) and next prime (1008812983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008812983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314947 + ... + 318133.

It is an arithmetic number, because the mean of its divisors is an integer number (19080180).

Almost surely, 2^1008812980 is an apocalyptic number.

1008812980 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 1008812980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373772960).

1008812980 is an abundant number, since it is smaller than the sum of its proper divisors (1738732940).

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

1008812980 is a wasteful number, since it uses less digits than its factorization.

1008812980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 1008812980 is about 31761.8163838279. The cubic root of 1008812980 is about 1002.9290721597.

The spelling of 1008812980 in words is "one billion, eight million, eight hundred twelve thousand, nine hundred eighty".