1303427664 has 480 divisors, whose sum is σ = 5013964800. Its totient is φ = 305648640.

The previous prime is 1303427663. The next prime is 1303427677. The reversal of 1303427664 is 4667243031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303427663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4845322 + ... + 4845590.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2^1303427664 is an apocalyptic number.

1303427664 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 1303427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506982400).

1303427664 is an abundant number, since it is smaller than the sum of its proper divisors (3710537136).

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

1303427664 is a wasteful number, since it uses less digits than its factorization.

1303427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1303427664 is about 36103.0146109712. The cubic root of 1303427664 is about 1092.3512535855.

The spelling of 1303427664 in words is "one billion, three hundred three million, four hundred twenty-seven thousand, six hundred sixty-four".