6815600 has 60 divisors (see below), whose sum is σ = 17874600. Its totient is φ = 2476800.

The previous prime is 6815597. The next prime is 6815603. The reversal of 6815600 is 65186.

It is an interprime number because it is at equal distance from previous prime (6815597) and next prime (6815603).

It is a self number, because there is not a number n which added to its sum of digits gives 6815600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6815603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3626 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (297910).

Almost surely, 2^6815600 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 6815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937300).

6815600 is an abundant number, since it is smaller than the sum of its proper divisors (11059000).

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

6815600 is a wasteful number, since it uses less digits than its factorization.

6815600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 6815600 is about 2610.6704119823. The cubic root of 6815600 is about 189.5984131090.

The spelling of 6815600 in words is "six million, eight hundred fifteen thousand, six hundred".