1288586880 has 640 divisors, whose sum is σ = 5438378880. Its totient is φ = 284663808.

The previous prime is 1288586861. The next prime is 1288586941. The reversal of 1288586880 is 886858821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1288586880² = 3320912294616268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19232607 + ... + 19232673.

It is an arithmetic number, because the mean of its divisors is an integer number (8497467).

Almost surely, 2^1288586880 is an apocalyptic number.

1288586880 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 1288586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719189440).

1288586880 is an abundant number, since it is smaller than the sum of its proper divisors (4149792000).

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

1288586880 is an equidigital number, since it uses as much as digits as its factorization.

1288586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The square root of 1288586880 is about 35896.8923446028. The cubic root of 1288586880 is about 1088.1895935457.

The spelling of 1288586880 in words is "one billion, two hundred eighty-eight million, five hundred eighty-six thousand, eight hundred eighty".