1303000160 has 288 divisors, whose sum is σ = 4048924320. Its totient is φ = 391372800.

The previous prime is 1303000133. The next prime is 1303000169. The reversal of 1303000160 is 610003031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303000169) 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 47 ways as a sum of consecutive naturals, for example, 2500700 + ... + 2501220.

It is an arithmetic number, because the mean of its divisors is an integer number (14058765).

Almost surely, 2^1303000160 is an apocalyptic number.

1303000160 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 1303000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024462160).

1303000160 is an abundant number, since it is smaller than the sum of its proper divisors (2745924160).

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

1303000160 is a wasteful number, since it uses less digits than its factorization.

1303000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1303000160 is about 36097.0935118051. The cubic root of 1303000160 is about 1092.2318157865.

Adding to 1303000160 its reverse (610003031), we get a palindrome (1913003191).

The spelling of 1303000160 in words is "one billion, three hundred three million, one hundred sixty", and thus it is an aban number.