813495960 has 192 divisors, whose sum is σ = 2767564800. Its totient is φ = 214897536.

The previous prime is 813495899. The next prime is 813495989. The reversal of 813495960 is 69594318.

It is a happy number.

813495960 is a `hidden beast` number, since 8 + 13 + 49 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1234111 + ... + 1234769.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^813495960 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 813495960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

813495960 is an abundant number, since it is smaller than the sum of its proper divisors (1954068840).

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

813495960 is a wasteful number, since it uses less digits than its factorization.

813495960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 813495960 is about 28521.8505710972. The cubic root of 813495960 is about 933.5089085793.

The spelling of 813495960 in words is "eight hundred thirteen million, four hundred ninety-five thousand, nine hundred sixty".