6268000 has 48 divisors (see below), whose sum is σ = 15410304. Its totient is φ = 2505600.

The previous prime is 6267979. The next prime is 6268013. The reversal of 6268000 is 8626.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3217 + ... + 4783.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^6268000 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 6268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152).

6268000 is an abundant number, since it is smaller than the sum of its proper divisors (9142304).

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

6268000 is a wasteful number, since it uses less digits than its factorization.

6268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6268000 is about 2503.5974117258. The cubic root of 6268000 is about 184.3782389549.

The spelling of 6268000 in words is "six million, two hundred sixty-eight thousand".