6888672 has 192 divisors, whose sum is σ = 24675840. Its totient is φ = 1824768.

The previous prime is 6888671. The next prime is 6888677. The reversal of 6888672 is 2768886.

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

Its product of digits (258048) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6888671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102783 + ... + 102849.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 2^6888672 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 6888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

6888672 is an abundant number, since it is smaller than the sum of its proper divisors (17787168).

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

6888672 is a wasteful number, since it uses less digits than its factorization.

6888672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 6888672 is about 2624.6279736374. The cubic root of 6888672 is about 190.2735855546.

The spelling of 6888672 in words is "six million, eight hundred eighty-eight thousand, six hundred seventy-two".