1288213560 has 96 divisors (see below), whose sum is σ = 4223877840. Its totient is φ = 340472832.

The previous prime is 1288213541. The next prime is 1288213561. The reversal of 1288213560 is 653128821.

It is a happy number.

1288213560 is a `hidden beast` number, since 1 + 2 + 8 + 82 + 13 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288213561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24847 + ... + 56513.

Almost surely, 2^1288213560 is an apocalyptic number.

1288213560 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 1288213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111938920).

1288213560 is an abundant number, since it is smaller than the sum of its proper divisors (2935664280).

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

1288213560 is a wasteful number, since it uses less digits than its factorization.

1288213560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31797 (or 31790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1288213560 is about 35891.6920749078. The cubic root of 1288213560 is about 1088.0844959428.

The spelling of 1288213560 in words is "one billion, two hundred eighty-eight million, two hundred thirteen thousand, five hundred sixty".