6846900 has 72 divisors (see below), whose sum is σ = 20519520. Its totient is φ = 1760640.

The previous prime is 6846899. The next prime is 6846907. The reversal of 6846900 is 96486.

It is a super-2 number, since 2×6846900² = 93760079220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6846907) 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, 8307 + ... + 9093.

Almost surely, 2^6846900 is an apocalyptic number.

6846900 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 6846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259760).

6846900 is an abundant number, since it is smaller than the sum of its proper divisors (13672620).

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

6846900 is a wasteful number, since it uses less digits than its factorization.

6846900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6846900 is about 2616.6581740839. The cubic root of 6846900 is about 189.8882075512. Note that the first 3 decimals are identical.

The spelling of 6846900 in words is "six million, eight hundred forty-six thousand, nine hundred".