6681984 has 32 divisors (see below), whose sum is σ = 17750040. Its totient is φ = 2227200.

The previous prime is 6681979. The next prime is 6681989. The reversal of 6681984 is 4891866.

6681984 = T₂₅₇ + T₂₅₈ + ... + T₃₈₄.

6681984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6681979) and next prime (6681989).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6681989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8317 + ... + 9084.

Almost surely, 2^6681984 is an apocalyptic number.

6681984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6681984 is an abundant number, since it is smaller than the sum of its proper divisors (11068056).

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

6681984 is a wasteful number, since it uses less digits than its factorization.

6681984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17418 (or 17406 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 6681984 is about 2584.9533844926. The cubic root of 6681984 is about 188.3512371490.

It can be divided in two parts, 6 and 681984, that multiplied together give a palindrome (4091904).

The spelling of 6681984 in words is "six million, six hundred eighty-one thousand, nine hundred eighty-four".