6838100 has 72 divisors (see below), whose sum is σ = 16144800. Its totient is φ = 2505600.

The previous prime is 6838099. The next prime is 6838123. The reversal of 6838100 is 18386.

It is a super-2 number, since 2×6838100² = 93519223220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6838100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112070 + ... + 112130.

Almost surely, 2^6838100 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 6838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072400).

6838100 is an abundant number, since it is smaller than the sum of its proper divisors (9306700).

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

6838100 is a wasteful number, since it uses less digits than its factorization.

6838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 6838100 is about 2614.9760993172. The cubic root of 6838100 is about 189.8068211996.

The spelling of 6838100 in words is "six million, eight hundred thirty-eight thousand, one hundred".