818496 has 126 divisors (see below), whose sum is σ = 2823210. Its totient is φ = 225792.

The previous prime is 818473. The next prime is 818509. The reversal of 818496 is 694818.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 112896 = 840^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 818496.

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 818496.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28210 + ... + 28238.

2⁸¹⁸⁴⁹⁶ 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 818496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411605).

818496 is an abundant number, since it is smaller than the sum of its proper divisors (2004714).

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

818496 is a wasteful number, since it uses less digits than its factorization.

818496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 818496 is about 904.7076875986. The cubic root of 818496 is about 93.5417564451.

The spelling of 818496 in words is "eight hundred eighteen thousand, four hundred ninety-six".