6256000 has 128 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 2252800.

The previous prime is 6255989. The next prime is 6256013. The reversal of 6256000 is 6526.

It is a tau number, because it is divible by the number of its divisors (128).

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, 271989 + ... + 272011.

Almost surely, 2^6256000 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 6256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480).

6256000 is an abundant number, since it is smaller than the sum of its proper divisors (10928960).

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

6256000 is a wasteful number, since it uses less digits than its factorization.

6256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 6256000 is about 2501.1997121382. The cubic root of 6256000 is about 184.2605005838.

The spelling of 6256000 in words is "six million, two hundred fifty-six thousand".