1987057920 has 288 divisors, whose sum is σ = 6843312000. Its totient is φ = 489553920.

The previous prime is 1987057913. The next prime is 1987057957. The reversal of 1987057920 is 297507891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1987057920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3981831 + ... + 3982329.

It is an arithmetic number, because the mean of its divisors is an integer number (23761500).

Almost surely, 2^1987057920 is an apocalyptic number.

1987057920 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 1987057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421656000).

1987057920 is an abundant number, since it is smaller than the sum of its proper divisors (4856254080).

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

1987057920 is a wasteful number, since it uses less digits than its factorization.

1987057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 1987057920 is about 44576.4278515002. The cubic root of 1987057920 is about 1257.1975001829.

The spelling of 1987057920 in words is "one billion, nine hundred eighty-seven million, fifty-seven thousand, nine hundred twenty".