1987678560 has 192 divisors, whose sum is σ = 7402752000. Its totient is φ = 438638592.

The previous prime is 1987678523. The next prime is 1987678579. The reversal of 1987678560 is 658767891.

It is a self number, because there is not a number n which added to its sum of digits gives 1987678560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87241 + ... + 107639.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 2^1987678560 is an apocalyptic number.

1987678560 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 1987678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

1987678560 is an abundant number, since it is smaller than the sum of its proper divisors (5415073440).

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

1987678560 is a wasteful number, since it uses less digits than its factorization.

1987678560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453 (or 20445 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The square root of 1987678560 is about 44583.3888348564. The cubic root of 1987678560 is about 1257.3283780713.

The spelling of 1987678560 in words is "one billion, nine hundred eighty-seven million, six hundred seventy-eight thousand, five hundred sixty".