6671616 has 144 divisors (see below), whose sum is σ = 21780864. Its totient is φ = 1769472.

The previous prime is 6671597. The next prime is 6671617. The reversal of 6671616 is 6161766.

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 (6671617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91356 + ... + 91428.

It is an arithmetic number, because the mean of its divisors is an integer number (151256).

Almost surely, 2^6671616 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 6671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890432).

6671616 is an abundant number, since it is smaller than the sum of its proper divisors (15109248).

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

6671616 is a wasteful number, since it uses less digits than its factorization.

6671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 6671616 is about 2582.9471539310. The cubic root of 6671616 is about 188.2537692651.

The spelling of 6671616 in words is "six million, six hundred seventy-one thousand, six hundred sixteen".