1287834240 has 512 divisors, whose sum is σ = 5301780480. Its totient is φ = 258048000.

The previous prime is 1287834211. The next prime is 1287834253. The reversal of 1287834240 is 424387821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4582900 + ... + 4583180.

It is an arithmetic number, because the mean of its divisors is an integer number (10355040).

Almost surely, 2^1287834240 is an apocalyptic number.

1287834240 is a gapful number since it is divisible by the number (10) 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 1287834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650890240).

1287834240 is an abundant number, since it is smaller than the sum of its proper divisors (4013946240).

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

1287834240 is a wasteful number, since it uses less digits than its factorization.

1287834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 1287834240 is about 35886.4074546339. The cubic root of 1287834240 is about 1087.9776884121.

The spelling of 1287834240 in words is "one billion, two hundred eighty-seven million, eight hundred thirty-four thousand, two hundred forty".