6479616 has 144 divisors (see below), whose sum is σ = 20603520. Its totient is φ = 1781760.

The previous prime is 6479609. The next prime is 6479617. The reversal of 6479616 is 6169746.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6479617) 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, 109795 + ... + 109853.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

Almost surely, 2^6479616 is an apocalyptic number.

6479616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760).

6479616 is an abundant number, since it is smaller than the sum of its proper divisors (14123904).

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

6479616 is a wasteful number, since it uses less digits than its factorization.

6479616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 6479616 is about 2545.5089864308. The cubic root of 6479616 is about 186.4302676386.

The spelling of 6479616 in words is "six million, four hundred seventy-nine thousand, six hundred sixteen".