813420 has 36 divisors (see below), whose sum is σ = 2467920. Its totient is φ = 216864.

The previous prime is 813419. The next prime is 813427. The reversal of 813420 is 24318.

It is a happy number.

813420 is nontrivially palindromic in base 16.

813420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 813393 and 813402.

It is not an unprimeable number, because it can be changed into a prime (813427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2080 + ... + 2439.

2⁸¹³⁴²⁰ is an apocalyptic number.

It is an amenable number.

813420 is an abundant number, since it is smaller than the sum of its proper divisors (1654500).

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

813420 is a wasteful number, since it uses less digits than its factorization.

813420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 813420 is about 901.8979986673. The cubic root of 813420 is about 93.3479852281.

Adding to 813420 its reverse (24318), we get a palindrome (837738).

The spelling of 813420 in words is "eight hundred thirteen thousand, four hundred twenty".