813407168 has 56 divisors (see below), whose sum is σ = 1847953632. Its totient is φ = 347986944.

The previous prime is 813407131. The next prime is 813407183. The reversal of 813407168 is 861704318.

813407168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327146 + ... + 329622.

It is an arithmetic number, because the mean of its divisors is an integer number (32999172).

Almost surely, 2^813407168 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 813407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923976816).

813407168 is an abundant number, since it is smaller than the sum of its proper divisors (1034546464).

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

813407168 is a wasteful number, since it uses less digits than its factorization.

813407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 813407168 is about 28520.2939676294. The cubic root of 813407168 is about 933.4749435924.

The spelling of 813407168 in words is "eight hundred thirteen million, four hundred seven thousand, one hundred sixty-eight".