817883136 has 192 divisors, whose sum is σ = 2770185600. Its totient is φ = 233570304.

The previous prime is 817883117. The next prime is 817883147. The reversal of 817883136 is 631388718.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 817883091 and 817883100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386016 + ... + 388128.

It is an arithmetic number, because the mean of its divisors is an integer number (14428050).

Almost surely, 2^817883136 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 817883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385092800).

817883136 is an abundant number, since it is smaller than the sum of its proper divisors (1952302464).

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

817883136 is a wasteful number, since it uses less digits than its factorization.

817883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2125 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 817883136 is about 28598.6561922060. The cubic root of 817883136 is about 935.1840357615.

The spelling of 817883136 in words is "eight hundred seventeen million, eight hundred eighty-three thousand, one hundred thirty-six".