1303164640 has 48 divisors (see below), whose sum is σ = 3088743840. Its totient is φ = 519569920.

The previous prime is 1303164637. The next prime is 1303164649. The reversal of 1303164640 is 464613031.

It is a junction number, because it is equal to n+sod(n) for n = 1303164599 and 1303164608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303164649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36666 + ... + 62854.

It is an arithmetic number, because the mean of its divisors is an integer number (64348830).

Almost surely, 2^1303164640 is an apocalyptic number.

1303164640 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 1303164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544371920).

1303164640 is an abundant number, since it is smaller than the sum of its proper divisors (1785579200).

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

1303164640 is a wasteful number, since it uses less digits than its factorization.

1303164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26515 (or 26507 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1303164640 is about 36099.3717396854. The cubic root of 1303164640 is about 1092.2777719667.

Adding to 1303164640 its reverse (464613031), we get a palindrome (1767777671).

The spelling of 1303164640 in words is "one billion, three hundred three million, one hundred sixty-four thousand, six hundred forty".