718688 has 24 divisors (see below), whose sum is σ = 1455552. Its totient is φ = 349056.

The previous prime is 718661. The next prime is 718691. The reversal of 718688 is 886817.

It is a super-3 number, since 3×718688³ = 1113633880333910016, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 718688.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 881 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (60648).

2⁷¹⁸⁶⁸⁸ 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 718688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727776).

718688 is an abundant number, since it is smaller than the sum of its proper divisors (736864).

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

718688 is a wasteful number, since it uses less digits than its factorization.

718688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 718688 is about 847.7546814970. The cubic root of 718688 is about 89.5736210611.

It can be divided in two parts, 7 and 18688, that multiplied together give a triangular number (130816 = T₅₁₁).

The spelling of 718688 in words is "seven hundred eighteen thousand, six hundred eighty-eight".