1286507904 has 128 divisors (see below), whose sum is σ = 3765415680. Its totient is φ = 385935360.

The previous prime is 1286507903. The next prime is 1286507977. The reversal of 1286507904 is 4097056821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286507903) 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 15 ways as a sum of consecutive naturals, for example, 433594 + ... + 436550.

It is an arithmetic number, because the mean of its divisors is an integer number (29417310).

Almost surely, 2^1286507904 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 1286507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882707840).

1286507904 is an abundant number, since it is smaller than the sum of its proper divisors (2478907776).

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

1286507904 is a wasteful number, since it uses less digits than its factorization.

1286507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1286507904 is about 35867.9230511051. The cubic root of 1286507904 is about 1087.6040586383.

The spelling of 1286507904 in words is "one billion, two hundred eighty-six million, five hundred seven thousand, nine hundred four".