1287167616 has 384 divisors, whose sum is σ = 4616601600. Its totient is φ = 335923200.

The previous prime is 1287167611. The next prime is 1287167663. The reversal of 1287167616 is 6167617821.

1287167616 is a `hidden beast` number, since 1 + 28 + 7 + 1 + 6 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1287167611) 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 47 ways as a sum of consecutive naturals, for example, 4749561 + ... + 4749831.

It is an arithmetic number, because the mean of its divisors is an integer number (12022400).

Almost surely, 2^1287167616 is an apocalyptic number.

1287167616 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 1287167616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308300800).

1287167616 is an abundant number, since it is smaller than the sum of its proper divisors (3329433984).

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

1287167616 is a wasteful number, since it uses less digits than its factorization.

1287167616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

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

The square root of 1287167616 is about 35877.1182789254. The cubic root of 1287167616 is about 1087.7899320500.

The spelling of 1287167616 in words is "one billion, two hundred eighty-seven million, one hundred sixty-seven thousand, six hundred sixteen".