6887520 has 72 divisors (see below), whose sum is σ = 23508576. Its totient is φ = 1836288.

The previous prime is 6887501. The next prime is 6887527. The reversal of 6887520 is 257886.

6887520 = T₇₇ + T₇₈ + ... + T₃₄₆.

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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6887527) 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, 952 + ... + 3831.

It is an arithmetic number, because the mean of its divisors is an integer number (326508).

Almost surely, 2^6887520 is an apocalyptic number.

6887520 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 6887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754288).

6887520 is an abundant number, since it is smaller than the sum of its proper divisors (16621056).

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

6887520 is a wasteful number, since it uses less digits than its factorization.

6887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6887520 is about 2624.4085047873. The cubic root of 6887520 is about 190.2629784114.

The spelling of 6887520 in words is "six million, eight hundred eighty-seven thousand, five hundred twenty".