6413220 has 144 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 1497600.

The previous prime is 6413219. The next prime is 6413243. The reversal of 6413220 is 223146.

It is a happy number.

6413220 is a `hidden beast` number, since 641 + 3 + 2 + 20 = 666.

It is a super-2 number, since 2×6413220² = 82258781536800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6413193 and 6413202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81141 + ... + 81219.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^6413220 is an apocalyptic number.

6413220 is a gapful number since it is divisible by the number (60) 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 6413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

6413220 is an abundant number, since it is smaller than the sum of its proper divisors (15601500).

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

6413220 is a wasteful number, since it uses less digits than its factorization.

6413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6413220 is about 2532.4336121604. The cubic root of 6413220 is about 185.7913025167.

Adding to 6413220 its reverse (223146), we get a palindrome (6636366).

The spelling of 6413220 in words is "six million, four hundred thirteen thousand, two hundred twenty".