6858000 has 160 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 1814400.

The previous prime is 6857999. The next prime is 6858013. The reversal of 6858000 is 8586.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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, 53937 + ... + 54063.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 2^6858000 is an apocalyptic number.

6858000 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 6858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

6858000 is an abundant number, since it is smaller than the sum of its proper divisors (17902320).

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

6858000 is a wasteful number, since it uses less digits than its factorization.

6858000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6858000 is about 2618.7783411354. The cubic root of 6858000 is about 189.9907659409.

The spelling of 6858000 in words is "six million, eight hundred fifty-eight thousand".