1987317000 has 384 divisors, whose sum is σ = 7359206400. Its totient is φ = 481536000.

The previous prime is 1987316999. The next prime is 1987317019. The reversal of 1987317000 is 7137891.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4742791 + ... + 4743209.

It is an arithmetic number, because the mean of its divisors is an integer number (19164600).

Almost surely, 2^1987317000 is an apocalyptic number.

1987317000 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 1987317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679603200).

1987317000 is an abundant number, since it is smaller than the sum of its proper divisors (5371889400).

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

1987317000 is a wasteful number, since it uses less digits than its factorization.

1987317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1987317000 is about 44579.3337769868. Note that the first 3 decimals coincide. The cubic root of 1987317000 is about 1257.2521371699.

The spelling of 1987317000 in words is "one billion, nine hundred eighty-seven million, three hundred seventeen thousand".