1987679616 has 128 divisors (see below), whose sum is σ = 5705145600. Its totient is φ = 609527808.

The previous prime is 1987679599. The next prime is 1987679641. The reversal of 1987679616 is 6169767891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1987679616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191035 + ... + 2191941.

It is an arithmetic number, because the mean of its divisors is an integer number (44571450).

Almost surely, 2^1987679616 is an apocalyptic number.

1987679616 is a gapful number since it is divisible by the number (16) 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 1987679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852572800).

1987679616 is an abundant number, since it is smaller than the sum of its proper divisors (3717465984).

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

1987679616 is a wasteful number, since it uses less digits than its factorization.

1987679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1364 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 60.

The square root of 1987679616 is about 44583.4006778308. The cubic root of 1987679616 is about 1257.3286007328.

The spelling of 1987679616 in words is "one billion, nine hundred eighty-seven million, six hundred seventy-nine thousand, six hundred sixteen".