1288610080 has 96 divisors (see below), whose sum is σ = 3117623040. Its totient is φ = 503193600.

The previous prime is 1288610069. The next prime is 1288610083. The reversal of 1288610080 is 800168821.

It is not an unprimeable number, because it can be changed into a prime (1288610083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225555 + ... + 1226605.

It is an arithmetic number, because the mean of its divisors is an integer number (32475240).

Almost surely, 2^1288610080 is an apocalyptic number.

1288610080 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 1288610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558811520).

1288610080 is an abundant number, since it is smaller than the sum of its proper divisors (1829012960).

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

1288610080 is a wasteful number, since it uses less digits than its factorization.

1288610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 1288610080 is about 35897.2154908985. The cubic root of 1288610080 is about 1088.1961241743.

The spelling of 1288610080 in words is "one billion, two hundred eighty-eight million, six hundred ten thousand, eighty".