816413184 has 60 divisors (see below), whose sum is σ = 2356237026. Its totient is φ = 272136192.

The previous prime is 816413183. The next prime is 816413189. The reversal of 816413184 is 481314618.

It is a happy number.

816413184 is a `hidden beast` number, since 8 + 1 + 641 + 3 + 1 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 659462400 + 156950784 = 25680^2 + 12528^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (816413183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83979 + ... + 93194.

Almost surely, 2^816413184 is an apocalyptic number.

It is an amenable number.

816413184 is an abundant number, since it is smaller than the sum of its proper divisors (1539823842).

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

816413184 is a wasteful number, since it uses less digits than its factorization.

816413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177197 (or 177178 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 816413184 is about 28572.9449654739. The cubic root of 816413184 is about 934.6234422169.

The spelling of 816413184 in words is "eight hundred sixteen million, four hundred thirteen thousand, one hundred eighty-four".