6258720 has 192 divisors, whose sum is σ = 22861440. Its totient is φ = 1425408.

The previous prime is 6258701. The next prime is 6258727. The reversal of 6258720 is 278526.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6258727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106051 + ... + 106109.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 2^6258720 is an apocalyptic number.

6258720 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 6258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

6258720 is an abundant number, since it is smaller than the sum of its proper divisors (16602720).

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

6258720 is a wasteful number, since it uses less digits than its factorization.

6258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6258720 is about 2501.7433921168. The cubic root of 6258720 is about 184.2872011349.

The spelling of 6258720 in words is "six million, two hundred fifty-eight thousand, seven hundred twenty".