6288800 has 72 divisors (see below), whose sum is σ = 17561376. Its totient is φ = 2154240.

The previous prime is 6288797. The next prime is 6288809. The reversal of 6288800 is 88826.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (6288809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5039 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (243908).

Almost surely, 2^6288800 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 6288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8780688).

6288800 is an abundant number, since it is smaller than the sum of its proper divisors (11272576).

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

6288800 is a wasteful number, since it uses less digits than its factorization.

6288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 6288800 is about 2507.7479937187. The cubic root of 6288800 is about 184.5819633233.

The spelling of 6288800 in words is "six million, two hundred eighty-eight thousand, eight hundred".