1287567360 has 192 divisors, whose sum is σ = 4577882400. Its totient is φ = 343277568.

The previous prime is 1287567353. The next prime is 1287567367. The reversal of 1287567360 is 637657821.

1287567360 is a `hidden beast` number, since 1 + 2 + 87 + 567 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1287567353) and next prime (1287567367).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287567367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 274152 + ... + 278808.

Almost surely, 2^1287567360 is an apocalyptic number.

1287567360 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 1287567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288941200).

1287567360 is an abundant number, since it is smaller than the sum of its proper divisors (3290315040).

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

1287567360 is an equidigital number, since it uses as much as digits as its factorization.

1287567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1287567360 is about 35882.6888624585. The cubic root of 1287567360 is about 1087.9025287536.

The spelling of 1287567360 in words is "one billion, two hundred eighty-seven million, five hundred sixty-seven thousand, three hundred sixty".