1287486816 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 310210560.

The previous prime is 1287486791. The next prime is 1287486833. The reversal of 1287486816 is 6186847821.

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 12499821 + ... + 12499923.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1287486816 is an apocalyptic number.

1287486816 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 1287486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1287486816 is an abundant number, since it is smaller than the sum of its proper divisors (3241255584).

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

1287486816 is a wasteful number, since it uses less digits than its factorization.

1287486816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 1287486816 is about 35881.5665209868. The cubic root of 1287486816 is about 1087.8798436367.

The spelling of 1287486816 in words is "one billion, two hundred eighty-seven million, four hundred eighty-six thousand, eight hundred sixteen".