815420 has 12 divisors (see below), whose sum is σ = 1712424. Its totient is φ = 326160.

The previous prime is 815417. The next prime is 815431. The reversal of 815420 is 24518.

815420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 40771 = 815420 / (8 + 1 + 5 + 4 + 2 + 0).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 815392 and 815401.

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 815420.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20366 + ... + 20405.

It is an arithmetic number, because the mean of its divisors is an integer number (142702).

2⁸¹⁵⁴²⁰ is an apocalyptic number.

It is an amenable number.

815420 is an abundant number, since it is smaller than the sum of its proper divisors (897004).

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

815420 is a wasteful number, since it uses less digits than its factorization.

815420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40780 (or 40778 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 815420 is about 903.0060907879. The cubic root of 815420 is about 93.4244291996.

Adding to 815420 its reverse (24518), we get a palindrome (839938).

The spelling of 815420 in words is "eight hundred fifteen thousand, four hundred twenty".