1285686752 has 96 divisors (see below), whose sum is σ = 3068803584. Its totient is φ = 518284800.

The previous prime is 1285686749. The next prime is 1285686757. The reversal of 1285686752 is 2576865821.

It is a self number, because there is not a number n which added to its sum of digits gives 1285686752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285686757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312227 + ... + 316317.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 2^1285686752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285686752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534401792).

1285686752 is an abundant number, since it is smaller than the sum of its proper divisors (1783116832).

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

1285686752 is a wasteful number, since it uses less digits than its factorization.

1285686752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4184 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 50.

The square root of 1285686752 is about 35856.4743386742. The cubic root of 1285686752 is about 1087.3726108236.

The spelling of 1285686752 in words is "one billion, two hundred eighty-five million, six hundred eighty-six thousand, seven hundred fifty-two".