834728664 has 128 divisors (see below), whose sum is σ = 2623956480. Its totient is φ = 216754560.

The previous prime is 834728659. The next prime is 834728669. The reversal of 834728664 is 466827438.

It is an interprime number because it is at equal distance from previous prime (834728659) and next prime (834728669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834728669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221742 + ... + 225474.

It is an arithmetic number, because the mean of its divisors is an integer number (20499660).

Almost surely, 2^834728664 is an apocalyptic number.

834728664 is a gapful number since it is divisible by the number (84) 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 834728664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311978240).

834728664 is an abundant number, since it is smaller than the sum of its proper divisors (1789227816).

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

834728664 is a wasteful number, since it uses less digits than its factorization.

834728664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3756 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 834728664 is about 28891.6711873855. The cubic root of 834728664 is about 941.5609585816.

The spelling of 834728664 in words is "eight hundred thirty-four million, seven hundred twenty-eight thousand, six hundred sixty-four".