6887120 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 2483712.

The previous prime is 6887113. The next prime is 6887137. The reversal of 6887120 is 217886.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34862 + ... + 35058.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^6887120 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 6887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

6887120 is an abundant number, since it is smaller than the sum of its proper divisors (10790320).

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

6887120 is a wasteful number, since it uses less digits than its factorization.

6887120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 6887120 is about 2624.3322960326. The cubic root of 6887120 is about 190.2592950989.

It can be divided in two parts, 6887 and 120, that added together give a palindrome (7007).

The spelling of 6887120 in words is "six million, eight hundred eighty-seven thousand, one hundred twenty".