813540 has 96 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 170496.

The previous prime is 813529. The next prime is 813541. The reversal of 813540 is 45318.

813540 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 (21).

It is not an unprimeable number, because it can be changed into a prime (813541) by changing a digit.

813540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5386 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁸¹³⁵⁴⁰ 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 813540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

813540 is an abundant number, since it is smaller than the sum of its proper divisors (2008860).

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

813540 is a wasteful number, since it uses less digits than its factorization.

813540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

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

The square root of 813540 is about 901.9645225839. The cubic root of 813540 is about 93.3525753978.

Adding to 813540 its reverse (45318), we get a palindrome (858858).

The spelling of 813540 in words is "eight hundred thirteen thousand, five hundred forty".