1286085600 has 360 divisors, whose sum is σ = 4764070080. Its totient is φ = 337582080.

The previous prime is 1286085583. The next prime is 1286085601. The reversal of 1286085600 is 65806821.

It is a happy number.

1286085600 is a `hidden beast` number, since 12 + 86 + 0 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (1286085601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5767089 + ... + 5767311.

It is an arithmetic number, because the mean of its divisors is an integer number (13233528).

Almost surely, 2^1286085600 is an apocalyptic number.

1286085600 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 1286085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382035040).

1286085600 is an abundant number, since it is smaller than the sum of its proper divisors (3477984480).

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

1286085600 is a wasteful number, since it uses less digits than its factorization.

1286085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

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

The square root of 1286085600 is about 35862.0356365893. The cubic root of 1286085600 is about 1087.4850414114.

The spelling of 1286085600 in words is "one billion, two hundred eighty-six million, eighty-five thousand, six hundred".