1288642180 has 36 divisors (see below), whose sum is σ = 3147971148. Its totient is φ = 441819840.

The previous prime is 1288642163. The next prime is 1288642219. The reversal of 1288642180 is 812468821.

It can be written as a sum of positive squares in 2 ways, for example, as 347747904 + 940894276 = 18648^2 + 30674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656491 + ... + 658450.

It is an arithmetic number, because the mean of its divisors is an integer number (87443643).

Almost surely, 2^1288642180 is an apocalyptic number.

1288642180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288642180 is an abundant number, since it is smaller than the sum of its proper divisors (1859328968).

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

1288642180 is a wasteful number, since it uses less digits than its factorization.

1288642180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314964 (or 1314955 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 1288642180 is about 35897.6625980021. The cubic root of 1288642180 is about 1088.2051599579.

It can be divided in two parts, 128864 and 2180, that added together give a square (131044 = 362²).

The spelling of 1288642180 in words is "one billion, two hundred eighty-eight million, six hundred forty-two thousand, one hundred eighty".