1287341568 has 240 divisors, whose sum is σ = 3897138960. Its totient is φ = 408748032.

The previous prime is 1287341519. The next prime is 1287341569. The reversal of 1287341568 is 8651437821.

1287341568 is a `hidden beast` number, since 1 + 2 + 87 + 3 + 4 + 1 + 568 = 666.

It is a super-3 number, since 3×1287341568³ (a number of 28 digits) contains 333 as substring.

Its product of digits (322560) is a multiple of the sum of its prime divisors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287341569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14464468 + ... + 14464556.

It is an arithmetic number, because the mean of its divisors is an integer number (16238079).

Almost surely, 2^1287341568 is an apocalyptic number.

1287341568 is a gapful number since it is divisible by the number (18) 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 1287341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948569480).

1287341568 is an abundant number, since it is smaller than the sum of its proper divisors (2609797392).

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

1287341568 is an equidigital number, since it uses as much as digits as its factorization.

1287341568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1287341568 is about 35879.5424719993. The cubic root of 1287341568 is about 1087.8389323274.

The spelling of 1287341568 in words is "one billion, two hundred eighty-seven million, three hundred forty-one thousand, five hundred sixty-eight".