7671216 has 120 divisors (see below), whose sum is σ = 24363520. Its totient is φ = 2036736.

The previous prime is 7671187. The next prime is 7671217. The reversal of 7671216 is 6121767.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7671217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97065 + ... + 97143.

Almost surely, 2^7671216 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 7671216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181760).

7671216 is an abundant number, since it is smaller than the sum of its proper divisors (16692304).

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

7671216 is a wasteful number, since it uses less digits than its factorization.

7671216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 7671216 is about 2769.6960122006. The cubic root of 7671216 is about 197.2217177825.

It can be divided in two parts, 7671 and 216, that added together give a palindrome (7887).

The spelling of 7671216 in words is "seven million, six hundred seventy-one thousand, two hundred sixteen".