1303963920 has 800 divisors, whose sum is σ = 5833555200. Its totient is φ = 262766592.

The previous prime is 1303963883. The next prime is 1303963933. The reversal of 1303963920 is 293693031.

It is a happy number.

1303963920 is a `hidden beast` number, since 13 + 0 + 3 + 9 + 639 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14651236 + ... + 14651324.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2^1303963920 is an apocalyptic number.

1303963920 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 1303963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916777600).

1303963920 is an abundant number, since it is smaller than the sum of its proper divisors (4529591280).

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

1303963920 is a wasteful number, since it uses less digits than its factorization.

1303963920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1303963920 is about 36110.4405954843. The cubic root of 1303963920 is about 1092.5010380383.

The spelling of 1303963920 in words is "one billion, three hundred three million, nine hundred sixty-three thousand, nine hundred twenty".