6442020 has 72 divisors (see below), whose sum is σ = 21051576. Its totient is φ = 1585152.

The previous prime is 6442003. The next prime is 6442021. The reversal of 6442020 is 202446.

6442020 is a `hidden beast` number, since 644 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 5531904 = 954^2 + 2352^2 .

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 = 6441984 and 6442002.

It is not an unprimeable number, because it can be changed into a prime (6442021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964 + ... + 3716.

It is an arithmetic number, because the mean of its divisors is an integer number (292383).

Almost surely, 2^6442020 is an apocalyptic number.

6442020 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 6442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525788).

6442020 is an abundant number, since it is smaller than the sum of its proper divisors (14609556).

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

6442020 is a wasteful number, since it uses less digits than its factorization.

6442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6442020 is about 2538.1134726407. The cubic root of 6442020 is about 186.0689997211.

Adding to 6442020 its reverse (202446), we get a palindrome (6644466).

The spelling of 6442020 in words is "six million, four hundred forty-two thousand, twenty".