1296558900 has 360 divisors, whose sum is σ = 5175779840. Its totient is φ = 273404160.

The previous prime is 1296558889. The next prime is 1296558937. The reversal of 1296558900 is 98556921.

1296558900 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 558 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 736221 + ... + 737979.

Almost surely, 2^1296558900 is an apocalyptic number.

1296558900 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 1296558900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587889920).

1296558900 is an abundant number, since it is smaller than the sum of its proper divisors (3879220940).

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

1296558900 is a wasteful number, since it uses less digits than its factorization.

1296558900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 1296558900 is about 36007.7616632859. The cubic root of 1296558900 is about 1090.4290598264.

The spelling of 1296558900 in words is "one billion, two hundred ninety-six million, five hundred fifty-eight thousand, nine hundred".