813601260 has 120 divisors (see below), whose sum is σ = 2563157520. Its totient is φ = 216038016.

The previous prime is 813601259. The next prime is 813601267. The reversal of 813601260 is 62106318.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (813601267) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434847 + ... + 436713.

It is an arithmetic number, because the mean of its divisors is an integer number (21359646).

Almost surely, 2^813601260 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 813601260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281578760).

813601260 is an abundant number, since it is smaller than the sum of its proper divisors (1749556260).

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

813601260 is a wasteful number, since it uses less digits than its factorization.

813601260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 813601260 is about 28523.6964645188. The cubic root of 813601260 is about 933.5491850535.

Adding to 813601260 its reverse (62106318), we get a palindrome (875707578).

The spelling of 813601260 in words is "eight hundred thirteen million, six hundred one thousand, two hundred sixty".