6987648 has 64 divisors (see below), whose sum is σ = 19192320. Its totient is φ = 2250240.

The previous prime is 6987619. The next prime is 6987661. The reversal of 6987648 is 8467896.

6987648 is digitally balanced in base 5, because in such base 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6987597 and 6987606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11611 + ... + 12197.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 2^6987648 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 6987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596160).

6987648 is an abundant number, since it is smaller than the sum of its proper divisors (12204672).

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

6987648 is a wasteful number, since it uses less digits than its factorization.

6987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 6987648 is about 2643.4159718062. The cubic root of 6987648 is about 191.1805352406.

The spelling of 6987648 in words is "six million, nine hundred eighty-seven thousand, six hundred forty-eight".