1303727360 has 144 divisors (see below), whose sum is σ = 3436667136. Its totient is φ = 470851584.

The previous prime is 1303727357. The next prime is 1303727371. The reversal of 1303727360 is 637273031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 781247 + ... + 782913.

It is an arithmetic number, because the mean of its divisors is an integer number (23865744).

Almost surely, 2^1303727360 is an apocalyptic number.

1303727360 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 1303727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718333568).

1303727360 is an abundant number, since it is smaller than the sum of its proper divisors (2132939776).

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

1303727360 is a wasteful number, since it uses less digits than its factorization.

1303727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 32.

The square root of 1303727360 is about 36107.1649399396. The cubic root of 1303727360 is about 1092.4349682973.

The spelling of 1303727360 in words is "one billion, three hundred three million, seven hundred twenty-seven thousand, three hundred sixty".