1288813680 has 840 divisors, whose sum is σ = 5840344944. Its totient is φ = 261273600.

The previous prime is 1288813657. The next prime is 1288813739. The reversal of 1288813680 is 863188821.

1288813680 is a `hidden beast` number, since 1 + 288 + 8 + 1 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×1288813680² = 3322081403510284800, which contains 22 as substring.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 31434460 + ... + 31434500.

Almost surely, 2^1288813680 is an apocalyptic number.

1288813680 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 1288813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920172472).

1288813680 is an abundant number, since it is smaller than the sum of its proper divisors (4551531264).

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

1288813680 is a wasteful number, since it uses less digits than its factorization.

1288813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1288813680 is about 35900.0512534453. The cubic root of 1288813680 is about 1088.2534327082.

The spelling of 1288813680 in words is "one billion, two hundred eighty-eight million, eight hundred thirteen thousand, six hundred eighty".