6268320 has 96 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 1670400.

The previous prime is 6268313. The next prime is 6268331. The reversal of 6268320 is 238626.

6268320 is a `hidden beast` number, since 626 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3595 + ... + 5045.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 2^6268320 is an apocalyptic number.

6268320 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 6268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

6268320 is an abundant number, since it is smaller than the sum of its proper divisors (15685920).

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

6268320 is a wasteful number, since it uses less digits than its factorization.

6268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6268320 is about 2503.6613189487. The cubic root of 6268320 is about 184.3813765869.

The spelling of 6268320 in words is "six million, two hundred sixty-eight thousand, three hundred twenty".