6835000 has 40 divisors (see below), whose sum is σ = 16026120. Its totient is φ = 2732000.

The previous prime is 6834991. The next prime is 6835007. The reversal of 6835000 is 5386.

6835000 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6835007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4317 + ... + 5683.

It is an arithmetic number, because the mean of its divisors is an integer number (400653).

Almost surely, 2^6835000 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 6835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013060).

6835000 is an abundant number, since it is smaller than the sum of its proper divisors (9191120).

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

6835000 is a wasteful number, since it uses less digits than its factorization.

6835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 6835000 is about 2614.3832924803. The cubic root of 6835000 is about 189.7781343771.

The spelling of 6835000 in words is "six million, eight hundred thirty-five thousand".