817834464 has 72 divisors (see below), whose sum is σ = 2335565232. Its totient is φ = 271457280.

The previous prime is 817834463. The next prime is 817834489. The reversal of 817834464 is 464438718.

817834464 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817834463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63517 + ... + 75299.

It is an arithmetic number, because the mean of its divisors is an integer number (32438406).

Almost surely, 2^817834464 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 817834464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167782616).

817834464 is an abundant number, since it is smaller than the sum of its proper divisors (1517730768).

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

817834464 is a wasteful number, since it uses less digits than its factorization.

817834464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 12029 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 817834464 is about 28597.8052304718. The cubic root of 817834464 is about 935.1654845454.

The spelling of 817834464 in words is "eight hundred seventeen million, eight hundred thirty-four thousand, four hundred sixty-four".