1258326080 has 112 divisors (see below), whose sum is σ = 3348898560. Its totient is φ = 446361600.

The previous prime is 1258326049. The next prime is 1258326089. The reversal of 1258326080 is 806238521.

It is a self number, because there is not a number n which added to its sum of digits gives 1258326080.

It is not an unprimeable number, because it can be changed into a prime (1258326089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139961 + ... + 148679.

It is an arithmetic number, because the mean of its divisors is an integer number (29900880).

Almost surely, 2^1258326080 is an apocalyptic number.

1258326080 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 1258326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674449280).

1258326080 is an abundant number, since it is smaller than the sum of its proper divisors (2090572480).

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

1258326080 is a wasteful number, since it uses less digits than its factorization.

1258326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 1258326080 is about 35472.8921854421. The cubic root of 1258326080 is about 1079.6037869889.

The spelling of 1258326080 in words is "one billion, two hundred fifty-eight million, three hundred twenty-six thousand, eighty".