6006240 has 144 divisors (see below), whose sum is σ = 21189168. Its totient is φ = 1548288.

The previous prime is 6006233. The next prime is 6006241. The reversal of 6006240 is 426006.

6006240 = T₆₁ + T₆₂ + ... + T₃₃₀.

6006240 is a `hidden beast` number, since 600 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006241) 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, 61872 + ... + 61968.

It is an arithmetic number, because the mean of its divisors is an integer number (147147).

Almost surely, 2^6006240 is an apocalyptic number.

6006240 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 6006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594584).

6006240 is an abundant number, since it is smaller than the sum of its proper divisors (15182928).

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

6006240 is a wasteful number, since it uses less digits than its factorization.

6006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

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

The square root of 6006240 is about 2450.7631464505. The cubic root of 6006240 is about 181.7750309720.

The spelling of 6006240 in words is "six million, six thousand, two hundred forty".