1288570680 has 192 divisors, whose sum is σ = 4445400960. Its totient is φ = 335518848.

The previous prime is 1288570643. The next prime is 1288570681. The reversal of 1288570680 is 860758821.

1288570680 is a `hidden beast` number, since 12 + 8 + 8 + 570 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288570681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416419 + ... + 419501.

It is an arithmetic number, because the mean of its divisors is an integer number (23153130).

Almost surely, 2^1288570680 is an apocalyptic number.

1288570680 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 1288570680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222700480).

1288570680 is an abundant number, since it is smaller than the sum of its proper divisors (3156830280).

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

1288570680 is a wasteful number, since it uses less digits than its factorization.

1288570680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1288570680 is about 35896.6666976197. Note that the first 4 decimals coincide. The cubic root of 1288570680 is about 1088.1850333189.

The spelling of 1288570680 in words is "one billion, two hundred eighty-eight million, five hundred seventy thousand, six hundred eighty".