1980413856 has 72 divisors (see below), whose sum is σ = 5646313764. Its totient is φ = 658437120.

The previous prime is 1980413839. The next prime is 1980413893. The reversal of 1980413856 is 6583140891.

It can be written as a sum of positive squares in 2 ways, for example, as 1978826256 + 1587600 = 44484^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105676 + ... + 122996.

Almost surely, 2^1980413856 is an apocalyptic number.

1980413856 is a gapful number since it is divisible by the number (16) 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 1980413856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823156882).

1980413856 is an abundant number, since it is smaller than the sum of its proper divisors (3665899908).

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

1980413856 is a wasteful number, since it uses less digits than its factorization.

1980413856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17734 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1980413856 is about 44501.8410405682. The cubic root of 1980413856 is about 1255.7947180968.

The spelling of 1980413856 in words is "one billion, nine hundred eighty million, four hundred thirteen thousand, eight hundred fifty-six".