817145844 has 48 divisors (see below), whose sum is σ = 2012028480. Its totient is φ = 257402880.

The previous prime is 817145843. The next prime is 817145911. The reversal of 817145844 is 448541718.

Its product of digits (143360) is a multiple of the sum of its prime factors (8960).

It is a junction number, because it is equal to n+sod(n) for n = 817145796 and 817145805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817145843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91732 + ... + 100244.

It is an arithmetic number, because the mean of its divisors is an integer number (41917260).

Almost surely, 2^817145844 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 817145844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006014240).

817145844 is an abundant number, since it is smaller than the sum of its proper divisors (1194882636).

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

817145844 is a wasteful number, since it uses less digits than its factorization.

817145844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8958 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 817145844 is about 28585.7629599072. The cubic root of 817145844 is about 934.9029397756.

The spelling of 817145844 in words is "eight hundred seventeen million, one hundred forty-five thousand, eight hundred forty-four".