1303868160 has 864 divisors, whose sum is σ = 5816079360. Its totient is φ = 262766592.

The previous prime is 1303868149. The next prime is 1303868161. The reversal of 1303868160 is 618683031.

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 (1303868161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35239662 + ... + 35239698.

Almost surely, 2^1303868160 is an apocalyptic number.

1303868160 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 1303868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908039680).

1303868160 is an abundant number, since it is smaller than the sum of its proper divisors (4512211200).

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

1303868160 is a wasteful number, since it uses less digits than its factorization.

1303868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1303868160 is about 36109.1146388277. The cubic root of 1303868160 is about 1092.4742938269.

The spelling of 1303868160 in words is "one billion, three hundred three million, eight hundred sixty-eight thousand, one hundred sixty".