1300989600 has 360 divisors, whose sum is σ = 5027795388. Its totient is φ = 326246400.

The previous prime is 1300989461. The next prime is 1300989607. The reversal of 1300989600 is 69890031.

It can be written as a sum of positive squares in 6 ways, for example, as 965220624 + 335768976 = 31068^2 + 18324^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1300989607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1101010 + ... + 1102190.

Almost surely, 2^1300989600 is an apocalyptic number.

1300989600 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 1300989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513897694).

1300989600 is an abundant number, since it is smaller than the sum of its proper divisors (3726805788).

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

1300989600 is a wasteful number, since it uses less digits than its factorization.

1300989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1300989600 is about 36069.2334268418. The cubic root of 1300989600 is about 1091.6697467686.

The spelling of 1300989600 in words is "one billion, three hundred million, nine hundred eighty-nine thousand, six hundred".