6358240 has 72 divisors (see below), whose sum is σ = 17495352. Its totient is φ = 2177280.

The previous prime is 6358237. The next prime is 6358267. The reversal of 6358240 is 428536.

It is a Harshad number since it is a multiple of its sum of digits (28).

6358240 is a Rhonda number in base 12.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6358199 and 6358208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7435 + ... + 8245.

It is an arithmetic number, because the mean of its divisors is an integer number (242991).

Almost surely, 2^6358240 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 6358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747676).

6358240 is an abundant number, since it is smaller than the sum of its proper divisors (11137112).

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

6358240 is a wasteful number, since it uses less digits than its factorization.

6358240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6358240 is about 2521.5550757420. Note that the first 3 decimals coincide. The cubic root of 6358240 is about 185.2588536136.

The spelling of 6358240 in words is "six million, three hundred fifty-eight thousand, two hundred forty".