1303356768 has 96 divisors (see below), whose sum is σ = 3916200960. Its totient is φ = 371804160.

The previous prime is 1303356767. The next prime is 1303356781. The reversal of 1303356768 is 8676533031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303356763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611128 + ... + 613256.

It is an arithmetic number, because the mean of its divisors is an integer number (40793760).

Almost surely, 2^1303356768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303356768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958100480).

1303356768 is an abundant number, since it is smaller than the sum of its proper divisors (2612844192).

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

1303356768 is a wasteful number, since it uses less digits than its factorization.

1303356768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 1303356768 is about 36102.0327405535. The cubic root of 1303356768 is about 1092.3314481804.

Adding to 1303356768 its reverse (8676533031), we get a palindrome (9979889799).

The spelling of 1303356768 in words is "one billion, three hundred three million, three hundred fifty-six thousand, seven hundred sixty-eight".