6681312 has 192 divisors, whose sum is σ = 22982400. Its totient is φ = 1866240.

The previous prime is 6681287. The next prime is 6681329. The reversal of 6681312 is 2131866.

6681312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (1728) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180558 + ... + 180594.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^6681312 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 6681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

6681312 is an abundant number, since it is smaller than the sum of its proper divisors (16301088).

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

6681312 is a wasteful number, since it uses less digits than its factorization.

6681312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6681312 is about 2584.8233982228. The cubic root of 6681312 is about 188.3449228430.

6681312 divided by its sum of digits (27) gives a triangular number (247456 = T₇₀₃).

The spelling of 6681312 in words is "six million, six hundred eighty-one thousand, three hundred twelve".