1987434960 has 480 divisors, whose sum is σ = 7755575040. Its totient is φ = 411844608.

The previous prime is 1987434959. The next prime is 1987434973. The reversal of 1987434960 is 694347891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17587864 + ... + 17587976.

It is an arithmetic number, because the mean of its divisors is an integer number (16157448).

Almost surely, 2^1987434960 is an apocalyptic number.

1987434960 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 1987434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877787520).

1987434960 is an abundant number, since it is smaller than the sum of its proper divisors (5768140080).

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

1987434960 is a wasteful number, since it uses less digits than its factorization.

1987434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 1987434960 is about 44580.6567919316. The cubic root of 1987434960 is about 1257.2770120017.

The spelling of 1987434960 in words is "one billion, nine hundred eighty-seven million, four hundred thirty-four thousand, nine hundred sixty".