1259731968 has 132 divisors (see below), whose sum is σ = 3691723560. Its totient is φ = 381624320.

The previous prime is 1259731961. The next prime is 1259731969. The reversal of 1259731968 is 8691379521.

It is a tau number, because it is divible by the number of its divisors (132).

It is a self number, because there is not a number n which added to its sum of digits gives 1259731968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259731961) 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 11 ways as a sum of consecutive naturals, for example, 370018 + ... + 373406.

Almost surely, 2^1259731968 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 1259731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845861780).

1259731968 is an abundant number, since it is smaller than the sum of its proper divisors (2431991592).

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

1259731968 is a wasteful number, since it uses less digits than its factorization.

1259731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3405 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 1259731968 is about 35492.7030247064. The cubic root of 1259731968 is about 1080.0057064170.

The spelling of 1259731968 in words is "one billion, two hundred fifty-nine million, seven hundred thirty-one thousand, nine hundred sixty-eight".