6294320 has 80 divisors (see below), whose sum is σ = 15936480. Its totient is φ = 2304000.

The previous prime is 6294317. The next prime is 6294359. The reversal of 6294320 is 234926.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a d-powerful number, because it can be written as 6 + 2¹¹ + 9² + 4¹¹ + 3⁶ + 2²¹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 6294320.

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 15 ways as a sum of consecutive naturals, for example, 62270 + ... + 62370.

It is an arithmetic number, because the mean of its divisors is an integer number (199206).

Almost surely, 2^6294320 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 6294320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

6294320 is an abundant number, since it is smaller than the sum of its proper divisors (9642160).

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

6294320 is a wasteful number, since it uses less digits than its factorization.

6294320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 6294320 is about 2508.8483413710. The cubic root of 6294320 is about 184.6359531926.

The spelling of 6294320 in words is "six million, two hundred ninety-four thousand, three hundred twenty".