6881952 has 192 divisors, whose sum is σ = 24192000. Its totient is φ = 1693440.

The previous prime is 6881951. The next prime is 6881977. The reversal of 6881952 is 2591886.

It is a super-2 number, since 2×6881952² = 94722526660608, which contains 22 as substring.

Its product of digits (34560) is a multiple of the sum of its prime factors (64).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6881952.

It is not an unprimeable number, because it can be changed into a prime (6881951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362199 + ... + 362217.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^6881952 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 6881952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

6881952 is an abundant number, since it is smaller than the sum of its proper divisors (17310048).

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

6881952 is a wasteful number, since it uses less digits than its factorization.

6881952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 6881952 is about 2623.3474798433. The cubic root of 6881952 is about 190.2116938722.

The spelling of 6881952 in words is "six million, eight hundred eighty-one thousand, nine hundred fifty-two".