6288240 has 160 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 1354752.

The previous prime is 6288229. The next prime is 6288241. The reversal of 6288240 is 428826.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6288198 and 6288207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6288241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31822 + ... + 32018.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 2^6288240 is an apocalyptic number.

6288240 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 6288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

6288240 is an abundant number, since it is smaller than the sum of its proper divisors (17281680).

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

6288240 is a wasteful number, since it uses less digits than its factorization.

6288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 6288240 is about 2507.6363372706. The cubic root of 6288240 is about 184.5764843253.

The spelling of 6288240 in words is "six million, two hundred eighty-eight thousand, two hundred forty".