6882148 has 72 divisors (see below), whose sum is σ = 15707832. Its totient is φ = 2612736.

The previous prime is 6882131. The next prime is 6882149. The reversal of 6882148 is 8412886.

It can be written as a sum of positive squares in 4 ways, for example, as 1350244 + 5531904 = 1162^2 + 2352^2 .

It is a super-2 number, since 2×6882148² = 94727922187808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6882149) 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, 94240 + ... + 94312.

Almost surely, 2^6882148 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 6882148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853916).

6882148 is an abundant number, since it is smaller than the sum of its proper divisors (8825684).

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

6882148 is a wasteful number, since it uses less digits than its factorization.

6882148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 6882148 is about 2623.3848364279. The cubic root of 6882148 is about 190.2134996166.

The spelling of 6882148 in words is "six million, eight hundred eighty-two thousand, one hundred forty-eight".