6882264 has 48 divisors (see below), whose sum is σ = 18957120. Its totient is φ = 2255040.

The previous prime is 6882191. The next prime is 6882287. The reversal of 6882264 is 4622886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3609 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^6882264 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 6882264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

6882264 is an abundant number, since it is smaller than the sum of its proper divisors (12074856).

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

6882264 is a wasteful number, since it uses less digits than its factorization.

6882264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1633 counting only the distinct ones).

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

The square root of 6882264 is about 2623.4069451764. The cubic root of 6882264 is about 190.2145683063.

It can be divided in two parts, 68822 and 64, that added together give a palindrome (68886).

The spelling of 6882264 in words is "six million, eight hundred eighty-two thousand, two hundred sixty-four".