6880608 has 72 divisors (see below), whose sum is σ = 22368528. Its totient is φ = 1965312.

The previous prime is 6880591. The next prime is 6880609. The reversal of 6880608 is 8060886.

6880608 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

6880608 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310 + ... + 3722.

It is an arithmetic number, because the mean of its divisors is an integer number (310674).

Almost surely, 2^6880608 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 6880608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184264).

6880608 is an abundant number, since it is smaller than the sum of its proper divisors (15487920).

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

6880608 is a wasteful number, since it uses less digits than its factorization.

6880608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6880608 is about 2623.0913060738. The cubic root of 6880608 is about 190.1993107015.

The spelling of 6880608 in words is "six million, eight hundred eighty thousand, six hundred eight".