817834416 has 40 divisors (see below), whose sum is σ = 2414559744. Its totient is φ = 233666880.

The previous prime is 817834411. The next prime is 817834417. The reversal of 817834416 is 614438718.

817834416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×817834416³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (817834411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216680 + ... + 1217351.

Almost surely, 2^817834416 is an apocalyptic number.

It is an amenable number.

817834416 is an abundant number, since it is smaller than the sum of its proper divisors (1596725328).

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

817834416 is a wasteful number, since it uses less digits than its factorization.

817834416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434049 (or 2434043 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 817834416 is about 28597.8043912465. The cubic root of 817834416 is about 935.1654662500.

The spelling of 817834416 in words is "eight hundred seventeen million, eight hundred thirty-four thousand, four hundred sixteen".