6987672 has 96 divisors (see below), whose sum is σ = 20214480. Its totient is φ = 2177280.

The previous prime is 6987661. The next prime is 6987677. The reversal of 6987672 is 2767896.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6987677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114522 + ... + 114582.

Almost surely, 2^6987672 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 6987672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10107240).

6987672 is an abundant number, since it is smaller than the sum of its proper divisors (13226808).

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

6987672 is a wasteful number, since it uses less digits than its factorization.

6987672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 6987672 is about 2643.4205113829. The cubic root of 6987672 is about 191.1807541187.

The spelling of 6987672 in words is "six million, nine hundred eighty-seven thousand, six hundred seventy-two".