1298881600 has 189 divisors, whose sum is σ = 3460390717. Its totient is φ = 479764480.

The previous prime is 1298881561. The next prime is 1298881643. The reversal of 1298881600 is 61888921.

The square root of 1298881600 is 36040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 199826496 + 1099055104 = 14136^2 + 33152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24507174 + ... + 24507226.

Almost surely, 2^1298881600 is an apocalyptic number.

1298881600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1298881600 is the 36040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1298881600

1298881600 is an abundant number, since it is smaller than the sum of its proper divisors (2161509117).

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

1298881600 is an equidigital number, since it uses as much as digits as its factorization.

1298881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The cubic root of 1298881600 is about 1091.0798153682.

The spelling of 1298881600 in words is "one billion, two hundred ninety-eight million, eight hundred eighty-one thousand, six hundred".