817871040 has 224 divisors, whose sum is σ = 3297692160. Its totient is φ = 186928128.

The previous prime is 817870987. The next prime is 817871059. The reversal of 817871040 is 40178718.

817871040 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 (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 817870986 and 817871004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53719 + ... + 67241.

It is an arithmetic number, because the mean of its divisors is an integer number (14721840).

Almost surely, 2^817871040 is an apocalyptic number.

817871040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648846080).

817871040 is an abundant number, since it is smaller than the sum of its proper divisors (2479821120).

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

817871040 is a wasteful number, since it uses less digits than its factorization.

817871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13556 (or 13540 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 817871040 is about 28598.4447129560. Note that the first 3 decimals coincide. The cubic root of 817871040 is about 935.1794254688.

The spelling of 817871040 in words is "eight hundred seventeen million, eight hundred seventy-one thousand, forty".