834768 has 120 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 230400.

The previous prime is 834761. The next prime is 834773. The reversal of 834768 is 867438.

834768 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-2 number, since 2×834768² = 1393675227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32256) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 834768.

It is not an unprimeable number, because it can be changed into a prime (834761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26913 + ... + 26943.

2⁸³⁴⁷⁶⁸ is an apocalyptic number.

834768 is a gapful number since it is divisible by the number (88) 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 834768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768).

834768 is an abundant number, since it is smaller than the sum of its proper divisors (1950768).

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

834768 is a wasteful number, since it uses less digits than its factorization.

834768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 834768 is about 913.6563905539. The cubic root of 834768 is about 94.1575748481.

It can be divided in two parts, 83 and 4768, that added together give a triangular number (4851 = T₉₈).

The spelling of 834768 in words is "eight hundred thirty-four thousand, seven hundred sixty-eight".