818688 has 80 divisors (see below), whose sum is σ = 2406096. Its totient is φ = 245760.

The previous prime is 818687. The next prime is 818689. The reversal of 818688 is 886818.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (818687) and next prime (818689).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19948 + ... + 19988.

2⁸¹⁸⁶⁸⁸ 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 818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203048).

818688 is an abundant number, since it is smaller than the sum of its proper divisors (1587408).

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

818688 is a wasteful number, since it uses less digits than its factorization.

818688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 818688 is about 904.8137929983. The cubic root of 818688 is about 93.5490701087.

The spelling of 818688 in words is "eight hundred eighteen thousand, six hundred eighty-eight".