813548340 has 144 divisors (see below), whose sum is σ = 2782274880. Its totient is φ = 197208000.

The previous prime is 813548299. The next prime is 813548353. The reversal of 813548340 is 43845318.

813548340 is a `hidden beast` number, since 8 + 135 + 483 + 40 = 666.

813548340 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 813548295 and 813548304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59115 + ... + 71565.

Almost surely, 2^813548340 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 813548340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391137440).

813548340 is an abundant number, since it is smaller than the sum of its proper divisors (1968726540).

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

813548340 is a wasteful number, since it uses less digits than its factorization.

813548340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12491 (or 12472 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 813548340 is about 28522.7687996800. The cubic root of 813548340 is about 933.5289439778.

The spelling of 813548340 in words is "eight hundred thirteen million, five hundred forty-eight thousand, three hundred forty".