6829500 has 96 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 1747200.

The previous prime is 6829483. The next prime is 6829507. The reversal of 6829500 is 59286.

6829500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829507) 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, 43422 + ... + 43578.

It is an arithmetic number, because the mean of its divisors is an integer number (215670).

Almost surely, 2^6829500 is an apocalyptic number.

6829500 is a gapful number since it is divisible by the number (60) 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 6829500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352160).

6829500 is an abundant number, since it is smaller than the sum of its proper divisors (13874820).

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

6829500 is a wasteful number, since it uses less digits than its factorization.

6829500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6829500 is about 2613.3312074821. The cubic root of 6829500 is about 189.7272170479.

The spelling of 6829500 in words is "six million, eight hundred twenty-nine thousand, five hundred".