1303787664 has 225 divisors, whose sum is σ = 4077663337. Its totient is φ = 402098688.

The previous prime is 1303787633. The next prime is 1303787669. The reversal of 1303787664 is 4667873031.

The square root of 1303787664 is 36108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1015059600 + 288728064 = 31860^2 + 16992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303787669) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22098067 + ... + 22098125.

Almost surely, 2^1303787664 is an apocalyptic number.

1303787664 is the 36108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303787664

1303787664 is an abundant number, since it is smaller than the sum of its proper divisors (2773875673).

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

1303787664 is an equidigital number, since it uses as much as digits as its factorization.

1303787664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The cubic root of 1303787664 is about 1092.4518115895.

The spelling of 1303787664 in words is "one billion, three hundred three million, seven hundred eighty-seven thousand, six hundred sixty-four".