1287483968 has 112 divisors (see below), whose sum is σ = 2736342000. Its totient is φ = 600145920.

The previous prime is 1287483959. The next prime is 1287483973. The reversal of 1287483968 is 8693847821.

It can be written as a sum of positive squares in 8 ways, for example, as 232013824 + 1055470144 = 15232^2 + 32488^2 .

It is a super-2 number, since 2×1287483968² = 3315229935714050048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8640758 + ... + 8640906.

It is an arithmetic number, because the mean of its divisors is an integer number (24431625).

Almost surely, 2^1287483968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1287483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368171000).

1287483968 is an abundant number, since it is smaller than the sum of its proper divisors (1448858032).

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

1287483968 is a wasteful number, since it uses less digits than its factorization.

1287483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The square root of 1287483968 is about 35881.5268348492. The cubic root of 1287483968 is about 1087.8790414837.

The spelling of 1287483968 in words is "one billion, two hundred eighty-seven million, four hundred eighty-three thousand, nine hundred sixty-eight".