817626040 has 96 divisors (see below), whose sum is σ = 2311071840. Its totient is φ = 254833920.

The previous prime is 817625947. The next prime is 817626041. The reversal of 817626040 is 40626718.

It is a junction number, because it is equal to n+sod(n) for n = 817625987 and 817626005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817626041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21814 + ... + 45946.

It is an arithmetic number, because the mean of its divisors is an integer number (24073665).

Almost surely, 2^817626040 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 817626040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155535920).

817626040 is an abundant number, since it is smaller than the sum of its proper divisors (1493445800).

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

817626040 is a wasteful number, since it uses less digits than its factorization.

817626040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24173 (or 24158 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 817626040 is about 28594.1609424022. The cubic root of 817626040 is about 935.0860359123.

The spelling of 817626040 in words is "eight hundred seventeen million, six hundred twenty-six thousand, forty".