1987406064 has 160 divisors (see below), whose sum is σ = 6557358080. Its totient is φ = 564537600.

The previous prime is 1987406039. The next prime is 1987406087. The reversal of 1987406064 is 4606047891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545529 + ... + 549159.

It is an arithmetic number, because the mean of its divisors is an integer number (40983488).

Almost surely, 2^1987406064 is an apocalyptic number.

1987406064 is a gapful number since it is divisible by the number (14) 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 1987406064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278679040).

1987406064 is an abundant number, since it is smaller than the sum of its proper divisors (4569952016).

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

1987406064 is a wasteful number, since it uses less digits than its factorization.

1987406064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1987406064 is about 44580.3327040075. The cubic root of 1987406064 is about 1257.2709186446.

The spelling of 1987406064 in words is "one billion, nine hundred eighty-seven million, four hundred six thousand, sixty-four".