1984872960 has 480 divisors, whose sum is σ = 8130051072. Its totient is φ = 437944320.

The previous prime is 1984872959. The next prime is 1984872997. The reversal of 1984872960 is 692784891.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 1984872897 and 1984872906.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3970 × 126 × 3968.

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, 4999482 + ... + 4999878.

Almost surely, 2^1984872960 is an apocalyptic number.

1984872960 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 1984872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065025536).

1984872960 is an abundant number, since it is smaller than the sum of its proper divisors (6145178112).

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

1984872960 is a wasteful number, since it uses less digits than its factorization.

1984872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1984872960 is about 44551.9130902367. The cubic root of 1984872960 is about 1256.7365282649.

The spelling of 1984872960 in words is "one billion, nine hundred eighty-four million, eight hundred seventy-two thousand, nine hundred sixty".