718368 has 48 divisors (see below), whose sum is σ = 2157120. Its totient is φ = 205056.

The previous prime is 718357. The next prime is 718379. The reversal of 718368 is 863817.

It is an interprime number because it is at equal distance from previous prime (718357) and next prime (718379).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

718368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (44940).

2⁷¹⁸³⁶⁸ 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 718368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078560).

718368 is an abundant number, since it is smaller than the sum of its proper divisors (1438752).

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

718368 is a wasteful number, since it uses less digits than its factorization.

718368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 718368 is about 847.5659266393. The cubic root of 718368 is about 89.5603246961.

The spelling of 718368 in words is "seven hundred eighteen thousand, three hundred sixty-eight".