6687972 has 36 divisors (see below), whose sum is σ = 17366076. Its totient is φ = 2168640.

The previous prime is 6687931. The next prime is 6687973. The reversal of 6687972 is 2797866.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6022116 + 665856 = 2454^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (6687973) 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, 1179 + ... + 3842.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^6687972 is an apocalyptic number.

It is an amenable number.

6687972 is an abundant number, since it is smaller than the sum of its proper divisors (10678104).

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

6687972 is a wasteful number, since it uses less digits than its factorization.

6687972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5063 counting only the distinct ones).

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

The square root of 6687972 is about 2586.1113665115. Note that the first 3 decimals coincide. The cubic root of 6687972 is about 188.4074834411.

The spelling of 6687972 in words is "six million, six hundred eighty-seven thousand, nine hundred seventy-two".