6006440 has 96 divisors (see below), whose sum is σ = 15944040. Its totient is φ = 2027520.

The previous prime is 6006439. The next prime is 6006479. The reversal of 6006440 is 446006.

It can be written as a sum of positive squares in 4 ways, for example, as 5541316 + 465124 = 2354^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82244 + ... + 82316.

Almost surely, 2^6006440 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 6006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972020).

6006440 is an abundant number, since it is smaller than the sum of its proper divisors (9937600).

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

6006440 is a wasteful number, since it uses less digits than its factorization.

6006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6006440 is about 2450.8039497275. The cubic root of 6006440 is about 181.7770485738. Note that the first 3 decimals are identical.

It can be divided in two parts, 6006 and 440, that added together give a palindrome (6446).

The spelling of 6006440 in words is "six million, six thousand, four hundred forty".