1288719168 has 224 divisors, whose sum is σ = 3930456960. Its totient is φ = 369008640.

The previous prime is 1288719167. The next prime is 1288719169. The reversal of 1288719168 is 8619178821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1288719167) and next prime (1288719169).

It is a super-2 number, since 2×1288719168² = 3321594187941224448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1288719168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288719161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3245946 + ... + 3246342.

Almost surely, 2^1288719168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965228480).

1288719168 is an abundant number, since it is smaller than the sum of its proper divisors (2641737792).

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

1288719168 is a wasteful number, since it uses less digits than its factorization.

1288719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its digits is 387072, while the sum is 51.

The square root of 1288719168 is about 35898.7349080716. The cubic root of 1288719168 is about 1088.2268305897.

The spelling of 1288719168 in words is "one billion, two hundred eighty-eight million, seven hundred nineteen thousand, one hundred sixty-eight".