1288068480 has 160 divisors (see below), whose sum is σ = 4600110240. Its totient is φ = 343471104.

The previous prime is 1288068433. The next prime is 1288068493. The reversal of 1288068480 is 848608821.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 39417 + ... + 64263.

It is an arithmetic number, because the mean of its divisors is an integer number (28750689).

Almost surely, 2^1288068480 is an apocalyptic number.

1288068480 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 1288068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300055120).

1288068480 is an abundant number, since it is smaller than the sum of its proper divisors (3312041760).

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

1288068480 is an equidigital number, since it uses as much as digits as its factorization.

1288068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24878 (or 24857 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1288068480 is about 35889.6709374717. The cubic root of 1288068480 is about 1088.0436473263.

It can be divided in two parts, 128 and 8068480, that added together give a palindrome (8068608).

The spelling of 1288068480 in words is "one billion, two hundred eighty-eight million, sixty-eight thousand, four hundred eighty".