716417688 has 128 divisors (see below), whose sum is σ = 2129264640. Its totient is φ = 196560000.

The previous prime is 716417687. The next prime is 716417753. The reversal of 716417688 is 886714617.

716417688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716417687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785953 + ... + 786863.

It is an arithmetic number, because the mean of its divisors is an integer number (16634880).

Almost surely, 2^716417688 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 716417688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064632320).

716417688 is an abundant number, since it is smaller than the sum of its proper divisors (1412846952).

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

716417688 is a wasteful number, since it uses less digits than its factorization.

716417688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 716417688 is about 26765.9800493089. The cubic root of 716417688 is about 894.7920151731.

The spelling of 716417688 in words is "seven hundred sixteen million, four hundred seventeen thousand, six hundred eighty-eight".