6896880 has 160 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 1762560.

The previous prime is 6896833. The next prime is 6896887. The reversal of 6896880 is 886986.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6896887) 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, 66909 + ... + 67011.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 2^6896880 is an apocalyptic number.

6896880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

6896880 is an abundant number, since it is smaller than the sum of its proper divisors (17863440).

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

6896880 is a wasteful number, since it uses less digits than its factorization.

6896880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6896880 is about 2626.1911583127. The cubic root of 6896880 is about 190.3491272414.

It can be divided in two parts, 6896 and 880, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6896880 in words is "six million, eight hundred ninety-six thousand, eight hundred eighty".