1716072960 has 320 divisors, whose sum is σ = 6342665472. Its totient is φ = 387710976.

The previous prime is 1716072949. The next prime is 1716072979. The reversal of 1716072960 is 692706171.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7365004 + ... + 7365236.

Almost surely, 2^1716072960 is an apocalyptic number.

1716072960 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 1716072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171332736).

1716072960 is an abundant number, since it is smaller than the sum of its proper divisors (4626592512).

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

1716072960 is a wasteful number, since it uses less digits than its factorization.

1716072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 1716072960 is about 41425.5109805540. The cubic root of 1716072960 is about 1197.2327345514.

The spelling of 1716072960 in words is "one billion, seven hundred sixteen million, seventy-two thousand, nine hundred sixty".