6006420 has 144 divisors (see below), whose sum is σ = 21833280. Its totient is φ = 1366848.

The previous prime is 6006409. The next prime is 6006421. The reversal of 6006420 is 246006.

6006420 is a `hidden beast` number, since 600 + 64 + 2 + 0 = 666.

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 = 6006393 and 6006402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26347 + ... + 26573.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

Almost surely, 2^6006420 is an apocalyptic number.

6006420 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 6006420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916640).

6006420 is an abundant number, since it is smaller than the sum of its proper divisors (15826860).

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

6006420 is a wasteful number, since it uses less digits than its factorization.

6006420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

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

The square root of 6006420 is about 2450.7998694304. The cubic root of 6006420 is about 181.7768468156.

The spelling of 6006420 in words is "six million, six thousand, four hundred twenty".