6258560 has 128 divisors (see below), whose sum is σ = 18800640. Its totient is φ = 1935360.

The previous prime is 6258557. The next prime is 6258563. The reversal of 6258560 is 658526.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6258557) and next prime (6258563).

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6258563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49217 + ... + 49343.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 2^6258560 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 6258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400320).

6258560 is an abundant number, since it is smaller than the sum of its proper divisors (12542080).

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

6258560 is a wasteful number, since it uses less digits than its factorization.

6258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 6258560 is about 2501.7114142123. The cubic root of 6258560 is about 184.2856307284.

The spelling of 6258560 in words is "six million, two hundred fifty-eight thousand, five hundred sixty".