1314963720 has 320 divisors, whose sum is σ = 5190958080. Its totient is φ = 292253184.

The previous prime is 1314963707. The next prime is 1314963737. The reversal of 1314963720 is 273694131.

1314963720 is a `hidden beast` number, since 1 + 3 + 14 + 9 + 637 + 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 79 ways as a sum of consecutive naturals, for example, 838377 + ... + 839943.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 2^1314963720 is an apocalyptic number.

1314963720 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 1314963720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595479040).

1314963720 is an abundant number, since it is smaller than the sum of its proper divisors (3875994360).

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

1314963720 is a wasteful number, since it uses less digits than its factorization.

1314963720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1314963720 is about 36262.4284901053. The cubic root of 1314963720 is about 1095.5644303440.

The spelling of 1314963720 in words is "one billion, three hundred fourteen million, nine hundred sixty-three thousand, seven hundred twenty".