1987744000 has 144 divisors (see below), whose sum is σ = 5402831616. Its totient is φ = 722688000.

The previous prime is 1987743941. The next prime is 1987744021. The reversal of 1987744000 is 4477891.

1987744000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1987744000² = 7902252419072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 349177 + ... + 354823.

It is an arithmetic number, because the mean of its divisors is an integer number (37519664).

Almost surely, 2^1987744000 is an apocalyptic number.

1987744000 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 1987744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701415808).

1987744000 is an abundant number, since it is smaller than the sum of its proper divisors (3415087616).

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

1987744000 is an equidigital number, since it uses as much as digits as its factorization.

1987744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1987744000 is about 44584.1227344444. The cubic root of 1987744000 is about 1257.3421761887.

The spelling of 1987744000 in words is "one billion, nine hundred eighty-seven million, seven hundred forty-four thousand".