813504 has 56 divisors (see below), whose sum is σ = 2275840. Its totient is φ = 255744.

The previous prime is 813503. The next prime is 813511. The reversal of 813504 is 405318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3537 + ... + 3759.

It is an arithmetic number, because the mean of its divisors is an integer number (40640).

2⁸¹³⁵⁰⁴ 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 813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137920).

813504 is an abundant number, since it is smaller than the sum of its proper divisors (1462336).

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

813504 is a wasteful number, since it uses less digits than its factorization.

813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 813504 is about 901.9445659241. The cubic root of 813504 is about 93.3511983943.

The spelling of 813504 in words is "eight hundred thirteen thousand, five hundred four".