1303441664 has 72 divisors (see below), whose sum is σ = 2993789568. Its totient is φ = 554803200.

The previous prime is 1303441621. The next prime is 1303441669. The reversal of 1303441664 is 4661443031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1303441664.

It is not an unprimeable number, because it can be changed into a prime (1303441669) 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, 268184 + ... + 273000.

Almost surely, 2^1303441664 is an apocalyptic number.

1303441664 is a gapful number since it is divisible by the number (14) 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 1303441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496894784).

1303441664 is an abundant number, since it is smaller than the sum of its proper divisors (1690347904).

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

1303441664 is an equidigital number, since it uses as much as digits as its factorization.

1303441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1303441664 is about 36103.2085000766. The cubic root of 1303441664 is about 1092.3551645206.

Adding to 1303441664 its reverse (4661443031), we get a palindrome (5964884695).

The spelling of 1303441664 in words is "one billion, three hundred three million, four hundred forty-one thousand, six hundred sixty-four".