6886890 has 64 divisors (see below), whose sum is σ = 19180800. Its totient is φ = 1755072.

The previous prime is 6886883. The next prime is 6886897. The reversal of 6886890 is 986886.

It is an interprime number because it is at equal distance from previous prime (6886883) and next prime (6886897).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6886897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5656 + ... + 6764.

It is an arithmetic number, because the mean of its divisors is an integer number (299700).

Almost surely, 2^6886890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6886890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590400).

6886890 is an abundant number, since it is smaller than the sum of its proper divisors (12293910).

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

6886890 is a wasteful number, since it uses less digits than its factorization.

6886890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6886890 is about 2624.2884749966. The cubic root of 6886890 is about 190.2571771297.

It can be divided in two parts, 6886 and 890, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6886890 in words is "six million, eight hundred eighty-six thousand, eight hundred ninety".