1982056960 has 80 divisors (see below), whose sum is σ = 5117938056. Its totient is φ = 731824128.

The previous prime is 1982056943. The next prime is 1982056961. The reversal of 1982056960 is 696502891.

It can be written as a sum of positive squares in 4 ways, for example, as 944701696 + 1037355264 = 30736^2 + 32208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1982056960.

It is not an unprimeable number, because it can be changed into a prime (1982056961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3502 + ... + 63058.

Almost surely, 2^1982056960 is an apocalyptic number.

1982056960 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 1982056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558969028).

1982056960 is an abundant number, since it is smaller than the sum of its proper divisors (3135881096).

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

1982056960 is an equidigital number, since it uses as much as digits as its factorization.

1982056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59593 (or 59577 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 1982056960 is about 44520.2982919028. The cubic root of 1982056960 is about 1256.1419234598.

The spelling of 1982056960 in words is "one billion, nine hundred eighty-two million, fifty-six thousand, nine hundred sixty".