1287822240 has 336 divisors, whose sum is σ = 4662029736. Its totient is φ = 335923200.

The previous prime is 1287822197. The next prime is 1287822271. The reversal of 1287822240 is 422287821.

It can be written as a sum of positive squares in 4 ways, for example, as 258952464 + 1028869776 = 16092^2 + 32076^2 .

It is a super-2 number, since 2×1287822240² = 3316972243677235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1287822195 and 1287822204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7114950 + ... + 7115130.

Almost surely, 2^1287822240 is an apocalyptic number.

1287822240 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 1287822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331014868).

1287822240 is an abundant number, since it is smaller than the sum of its proper divisors (3374207496).

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

1287822240 is an equidigital number, since it uses as much as digits as its factorization.

1287822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1287822240 is about 35886.2402600217. The cubic root of 1287822240 is about 1087.9743091540.

The spelling of 1287822240 in words is "one billion, two hundred eighty-seven million, eight hundred twenty-two thousand, two hundred forty".