1287063648 has 384 divisors, whose sum is σ = 4397299200. Its totient is φ = 362797056.

The previous prime is 1287063619. The next prime is 1287063671. The reversal of 1287063648 is 8463607821.

1287063648 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 0 + 636 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7896015 + ... + 7896177.

It is an arithmetic number, because the mean of its divisors is an integer number (11451300).

Almost surely, 2^1287063648 is an apocalyptic number.

1287063648 is a gapful number since it is divisible by the number (18) 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 1287063648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198649600).

1287063648 is an abundant number, since it is smaller than the sum of its proper divisors (3110235552).

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

1287063648 is a wasteful number, since it uses less digits than its factorization.

1287063648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1287063648 is about 35875.6693038611. The cubic root of 1287063648 is about 1087.7606433525.

The spelling of 1287063648 in words is "one billion, two hundred eighty-seven million, sixty-three thousand, six hundred forty-eight".