1298088000 has 504 divisors, whose sum is σ = 5138242200. Its totient is φ = 312576000.

The previous prime is 1298087993. The next prime is 1298088013. The reversal of 1298088000 is 8808921.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 1071645696 = 15048^2 + 32736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8711926 + ... + 8712074.

It is an arithmetic number, because the mean of its divisors is an integer number (10194925).

Almost surely, 2^1298088000 is an apocalyptic number.

1298088000 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 1298088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569121100).

1298088000 is an abundant number, since it is smaller than the sum of its proper divisors (3840154200).

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

1298088000 is a wasteful number, since it uses less digits than its factorization.

1298088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1298088000 is about 36028.9883288443. The cubic root of 1298088000 is about 1090.8575581718.

The spelling of 1298088000 in words is "one billion, two hundred ninety-eight million, eighty-eight thousand".