1287127296 has 324 divisors, whose sum is σ = 4654378092. Its totient is φ = 339075072.

The previous prime is 1287127253. The next prime is 1287127301. The reversal of 1287127296 is 6927217821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 635040000 + 652087296 = 25200^2 + 25536^2 .

It is a super-2 number, since 2×1287127296² = 3313393352216543232, which contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467210 + ... + 1468086.

Almost surely, 2^1287127296 is an apocalyptic number.

1287127296 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 1287127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327189046).

1287127296 is an abundant number, since it is smaller than the sum of its proper divisors (3367250796).

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

1287127296 is a wasteful number, since it uses less digits than its factorization.

1287127296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 902 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1287127296 is about 35876.5563564844. The cubic root of 1287127296 is about 1087.7785737396.

The spelling of 1287127296 in words is "one billion, two hundred eighty-seven million, one hundred twenty-seven thousand, two hundred ninety-six".