815320 has 64 divisors (see below), whose sum is σ = 2138400. Its totient is φ = 276480.

The previous prime is 815317. The next prime is 815333. The reversal of 815320 is 23518.

It is a happy number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7426 + ... + 7534.

2⁸¹⁵³²⁰ 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 815320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069200).

815320 is an abundant number, since it is smaller than the sum of its proper divisors (1323080).

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

815320 is a wasteful number, since it uses less digits than its factorization.

815320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 815320 is about 902.9507184780. The cubic root of 815320 is about 93.4206099716.

Adding to 815320 its reverse (23518), we get a palindrome (838838).

The spelling of 815320 in words is "eight hundred fifteen thousand, three hundred twenty".