1987016640 has 336 divisors, whose sum is σ = 7486631712. Its totient is φ = 445046784.

The previous prime is 1987016609. The next prime is 1987016653. The reversal of 1987016640 is 466107891.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1987016592 and 1987016601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492722 + ... + 2493518.

It is an arithmetic number, because the mean of its divisors is an integer number (22281642).

Almost surely, 2^1987016640 is an apocalyptic number.

1987016640 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 1987016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743315856).

1987016640 is an abundant number, since it is smaller than the sum of its proper divisors (5499615072).

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

1987016640 is a wasteful number, since it uses less digits than its factorization.

1987016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1987016640 is about 44575.9648241067. The cubic root of 1987016640 is about 1257.1887942679.

The spelling of 1987016640 in words is "one billion, nine hundred eighty-seven million, sixteen thousand, six hundred forty".