813405168 has 60 divisors (see below), whose sum is σ = 2293076448. Its totient is φ = 269149440.

The previous prime is 813405167. The next prime is 813405179. The reversal of 813405168 is 861504318.

813405168 is a `hidden beast` number, since 8 + 134 + 0 + 516 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813405161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888 + ... + 40343.

Almost surely, 2^813405168 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 813405168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146538224).

813405168 is an abundant number, since it is smaller than the sum of its proper divisors (1479671280).

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

813405168 is a wasteful number, since it uses less digits than its factorization.

813405168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41382 (or 41373 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 813405168 is about 28520.2589048557. The cubic root of 813405168 is about 933.4741785179.

The spelling of 813405168 in words is "eight hundred thirteen million, four hundred five thousand, one hundred sixty-eight".