1986984000 has 224 divisors, whose sum is σ = 7290816000. Its totient is φ = 529804800.

The previous prime is 1986983989. The next prime is 1986984001. The reversal of 1986984000 is 4896891.

1986984000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1986984001) 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, 211401 + ... + 220599.

Almost surely, 2^1986984000 is an apocalyptic number.

1986984000 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 1986984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645408000).

1986984000 is an abundant number, since it is smaller than the sum of its proper divisors (5303832000).

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

1986984000 is an equidigital number, since it uses as much as digits as its factorization.

1986984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1986984000 is about 44575.5987060185. The cubic root of 1986984000 is about 1257.1819104357.

The spelling of 1986984000 in words is "one billion, nine hundred eighty-six million, nine hundred eighty-four thousand".