6866000 has 40 divisors (see below), whose sum is σ = 16606824. Its totient is φ = 2745600.

The previous prime is 6865997. The next prime is 6866003. The reversal of 6866000 is 6686.

It is an interprime number because it is at equal distance from previous prime (6865997) and next prime (6866003).

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 6270016 = 772^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6866003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284 + ... + 3716.

Almost surely, 2^6866000 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 6866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303412).

6866000 is an abundant number, since it is smaller than the sum of its proper divisors (9740824).

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

6866000 is a wasteful number, since it uses less digits than its factorization.

6866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 6866000 is about 2620.3053257206. The cubic root of 6866000 is about 190.0646132969.

The spelling of 6866000 in words is "six million, eight hundred sixty-six thousand".