6846000 has 160 divisors (see below), whose sum is σ = 25379328. Its totient is φ = 1555200.

The previous prime is 6845983. The next prime is 6846017. The reversal of 6846000 is 6486.

It is an interprime number because it is at equal distance from previous prime (6845983) and next prime (6846017).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41919 + ... + 42081.

Almost surely, 2^6846000 is an apocalyptic number.

6846000 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 6846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689664).

6846000 is an abundant number, since it is smaller than the sum of its proper divisors (18533328).

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

6846000 is a wasteful number, since it uses less digits than its factorization.

6846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6846000 is about 2616.4861933517. The cubic root of 6846000 is about 189.8798871495.

The spelling of 6846000 in words is "six million, eight hundred forty-six thousand".