813660 has 48 divisors (see below), whose sum is σ = 2322432. Its totient is φ = 212800.

The previous prime is 813647. The next prime is 813677. The reversal of 813660 is 66318.

813660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 813660.

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, 4165 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (48384).

2⁸¹³⁶⁶⁰ 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 813660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216).

813660 is an abundant number, since it is smaller than the sum of its proper divisors (1508772).

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

813660 is a wasteful number, since it uses less digits than its factorization.

813660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 813660 is about 902.0310415945. The cubic root of 813660 is about 93.3571651161.

Adding to 813660 its reverse (66318), we get a palindrome (879978).

It can be divided in two parts, 81 and 3660, that added together give a triangular number (3741 = T₈₆).

The spelling of 813660 in words is "eight hundred thirteen thousand, six hundred sixty".