1987983360 has 576 divisors, whose sum is σ = 7865151840. Its totient is φ = 460062720.

The previous prime is 1987983343. The next prime is 1987983373. The reversal of 1987983360 is 633897891.

1987983360 is a `hidden beast` number, since 198 + 7 + 98 + 3 + 360 = 666.

1987983360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 1987983297 and 1987983306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37509094 + ... + 37509146.

Almost surely, 2^1987983360 is an apocalyptic number.

1987983360 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 1987983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932575920).

1987983360 is an abundant number, since it is smaller than the sum of its proper divisors (5877168480).

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

1987983360 is a wasteful number, since it uses less digits than its factorization.

1987983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1987983360 is about 44586.8070173230. The cubic root of 1987983360 is about 1257.3926430066.

The spelling of 1987983360 in words is "one billion, nine hundred eighty-seven million, nine hundred eighty-three thousand, three hundred sixty".