6882642 has 48 divisors (see below), whose sum is σ = 16336320. Its totient is φ = 2081376.

The previous prime is 6882641. The next prime is 6882643. The reversal of 6882642 is 2462886.

6882642 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (6882641) and next prime (6882643).

It is a junction number, because it is equal to n+sod(n) for n = 6882597 and 6882606.

It is not an unprimeable number, because it can be changed into a prime (6882641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15459 + ... + 15897.

It is an arithmetic number, because the mean of its divisors is an integer number (340340).

Almost surely, 2^6882642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6882642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168160).

6882642 is an abundant number, since it is smaller than the sum of its proper divisors (9453678).

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

6882642 is a wasteful number, since it uses less digits than its factorization.

6882642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 524 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 6882642 is about 2623.4789879090. The cubic root of 6882642 is about 190.2180506773.

The spelling of 6882642 in words is "six million, eight hundred eighty-two thousand, six hundred forty-two".