1715968320 has 224 divisors, whose sum is σ = 6083320320. Its totient is φ = 406210560.

The previous prime is 1715968307. The next prime is 1715968339. The reversal of 1715968320 is 238695171.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452191 + ... + 455969.

It is an arithmetic number, because the mean of its divisors is an integer number (27157680).

Almost surely, 2^1715968320 is an apocalyptic number.

1715968320 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 1715968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041660160).

1715968320 is an abundant number, since it is smaller than the sum of its proper divisors (4367352000).

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

1715968320 is a wasteful number, since it uses less digits than its factorization.

1715968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1715968320 is about 41424.2479714478. The cubic root of 1715968320 is about 1197.2083997314.

The spelling of 1715968320 in words is "one billion, seven hundred fifteen million, nine hundred sixty-eight thousand, three hundred twenty".