1298325600 has 648 divisors, whose sum is σ = 5463915912. Its totient is φ = 287539200.

The previous prime is 1298325599. The next prime is 1298325607. The reversal of 1298325600 is 65238921.

1298325600 is a `hidden beast` number, since 1 + 2 + 98 + 3 + 2 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298325607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13384752 + ... + 13384848.

It is an arithmetic number, because the mean of its divisors is an integer number (8431969).

Almost surely, 2^1298325600 is an apocalyptic number.

1298325600 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 1298325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731957956).

1298325600 is an abundant number, since it is smaller than the sum of its proper divisors (4165590312).

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

1298325600 is a wasteful number, since it uses less digits than its factorization.

1298325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1298325600 is about 36032.2855228474. The cubic root of 1298325600 is about 1090.9241103993.

It can be divided in two parts, 12983 and 25600, that added together give a palindrome (38583).

The spelling of 1298325600 in words is "one billion, two hundred ninety-eight million, three hundred twenty-five thousand, six hundred".