1285905696 has 96 divisors (see below), whose sum is σ = 3489571008. Its totient is φ = 414305280.

The previous prime is 1285905683. The next prime is 1285905703. The reversal of 1285905696 is 6965095821.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 577866 + ... + 580086.

It is an arithmetic number, because the mean of its divisors is an integer number (36349698).

Almost surely, 2^1285905696 is an apocalyptic number.

1285905696 is a gapful number since it is divisible by the number (16) 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 1285905696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744785504).

1285905696 is an abundant number, since it is smaller than the sum of its proper divisors (2203665312).

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

1285905696 is a wasteful number, since it uses less digits than its factorization.

1285905696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 1285905696 is about 35859.5272696113. The cubic root of 1285905696 is about 1087.4343314555.

The spelling of 1285905696 in words is "one billion, two hundred eighty-five million, nine hundred five thousand, six hundred ninety-six".