815104 has 26 divisors (see below), whose sum is σ = 1638200. Its totient is φ = 405504.

The previous prime is 815063. The next prime is 815123. The reversal of 815104 is 401518.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

815104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3997 + ... + 4195.

2⁸¹⁵¹⁰⁴ 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 815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819100).

815104 is an abundant number, since it is smaller than the sum of its proper divisors (823096).

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

815104 is an equidigital number, since it uses as much as digits as its factorization.

815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 815104 is about 902.8311026986. The cubic root of 815104 is about 93.4123593730.

It can be divided in two parts, 815 and 104, that added together give a palindrome (919).

The spelling of 815104 in words is "eight hundred fifteen thousand, one hundred four".