6855600 has 120 divisors (see below), whose sum is σ = 22833360. Its totient is φ = 1756160.

The previous prime is 6855593. The next prime is 6855631. The reversal of 6855600 is 65586.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 34702 + ... + 34898.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 2^6855600 is an apocalyptic number.

6855600 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 6855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416680).

6855600 is an abundant number, since it is smaller than the sum of its proper divisors (15977760).

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

6855600 is a wasteful number, since it uses less digits than its factorization.

6855600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6855600 is about 2618.3200721073. The cubic root of 6855600 is about 189.9686005360.

The spelling of 6855600 in words is "six million, eight hundred fifty-five thousand, six hundred".