1288988160 has 160 divisors (see below), whose sum is σ = 4209587712. Its totient is φ = 336322560.

The previous prime is 1288988137. The next prime is 1288988171. The reversal of 1288988160 is 618898821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1288988160² = 3322980953240371200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 359175 + ... + 362745.

Almost surely, 2^1288988160 is an apocalyptic number.

1288988160 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 1288988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104793856).

1288988160 is an abundant number, since it is smaller than the sum of its proper divisors (2920599552).

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

1288988160 is an equidigital number, since it uses as much as digits as its factorization.

1288988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 51.

The square root of 1288988160 is about 35902.4812513007. The cubic root of 1288988160 is about 1088.3025398558.

The spelling of 1288988160 in words is "one billion, two hundred eighty-eight million, nine hundred eighty-eight thousand, one hundred sixty".