1982636800 has 108 divisors (see below), whose sum is σ = 5121078480. Its totient is φ = 758517760.

The previous prime is 1982636797. The next prime is 1982636827. The reversal of 1982636800 is 86362891.

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, 140466 + ... + 153934.

Almost surely, 2^1982636800 is an apocalyptic number.

1982636800 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 1982636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560539240).

1982636800 is an abundant number, since it is smaller than the sum of its proper divisors (3138441680).

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

1982636800 is a wasteful number, since it uses less digits than its factorization.

1982636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13518 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1982636800 is about 44526.8099014515. The cubic root of 1982636800 is about 1256.2644040163.

The spelling of 1982636800 in words is "one billion, nine hundred eighty-two million, six hundred thirty-six thousand, eight hundred".