717000960 has 288 divisors, whose sum is σ = 2521870848. Its totient is φ = 172523520.

The previous prime is 717000943. The next prime is 717000961. The reversal of 717000960 is 69000717.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (717000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645625 + ... + 2645895.

It is an arithmetic number, because the mean of its divisors is an integer number (8756496).

Almost surely, 2^717000960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 717000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260935424).

717000960 is an abundant number, since it is smaller than the sum of its proper divisors (1804869888).

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

717000960 is a wasteful number, since it uses less digits than its factorization.

717000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 717000960 is about 26776.8736039143. The cubic root of 717000960 is about 895.0347811666.

The spelling of 717000960 in words is "seven hundred seventeen million, nine hundred sixty", and thus it is an aban number.