813407166 has 96 divisors (see below), whose sum is σ = 2080391040. Its totient is φ = 226440000.

The previous prime is 813407131. The next prime is 813407183. The reversal of 813407166 is 661704318.

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

It is a self number, because there is not a number n which added to its sum of digits gives 813407166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645445 + ... + 646703.

It is an arithmetic number, because the mean of its divisors is an integer number (21670740).

Almost surely, 2^813407166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813407166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040195520).

813407166 is an abundant number, since it is smaller than the sum of its proper divisors (1266983874).

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

813407166 is a wasteful number, since it uses less digits than its factorization.

813407166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 813407166 is about 28520.2939325667. The cubic root of 813407166 is about 933.4749428273.

The spelling of 813407166 in words is "eight hundred thirteen million, four hundred seven thousand, one hundred sixty-six".