817630350 has 96 divisors (see below), whose sum is σ = 2119551840. Its totient is φ = 208320000.

The previous prime is 817630327. The next prime is 817630367. The reversal of 817630350 is 53036718.

It is a happy number.

It is a super-2 number, since 2×817630350² = 1337038778482245000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 438420 + ... + 440280.

It is an arithmetic number, because the mean of its divisors is an integer number (22078665).

Almost surely, 2^817630350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817630350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059775920).

817630350 is an abundant number, since it is smaller than the sum of its proper divisors (1301921490).

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

817630350 is a wasteful number, since it uses less digits than its factorization.

817630350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 817630350 is about 28594.2363073400. The cubic root of 817630350 is about 935.0876789673.

The spelling of 817630350 in words is "eight hundred seventeen million, six hundred thirty thousand, three hundred fifty".