1987925760 has 288 divisors, whose sum is σ = 7139119680. Its totient is φ = 523763712.

The previous prime is 1987925729. The next prime is 1987925791. The reversal of 1987925760 is 675297891.

It is an interprime number because it is at equal distance from previous prime (1987925729) and next prime (1987925791).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1987925697 and 1987925706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352024 + ... + 3352616.

It is an arithmetic number, because the mean of its divisors is an integer number (24788610).

Almost surely, 2^1987925760 is an apocalyptic number.

1987925760 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 1987925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569559840).

1987925760 is an abundant number, since it is smaller than the sum of its proper divisors (5151193920).

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

1987925760 is an equidigital number, since it uses as much as digits as its factorization.

1987925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1987925760 is about 44586.1610816630. The cubic root of 1987925760 is about 1257.3804989553.

The spelling of 1987925760 in words is "one billion, nine hundred eighty-seven million, nine hundred twenty-five thousand, seven hundred sixty".