6288000 has 128 divisors (see below), whose sum is σ = 21003840. Its totient is φ = 1664000.

The previous prime is 6287969. The next prime is 6288053. The reversal of 6288000 is 8826.

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 (24).

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, 47935 + ... + 48065.

Almost surely, 2^6288000 is an apocalyptic number.

6288000 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 6288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501920).

6288000 is an abundant number, since it is smaller than the sum of its proper divisors (14715840).

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

6288000 is a wasteful number, since it uses less digits than its factorization.

6288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6288000 is about 2507.5884829852. The cubic root of 6288000 is about 184.5741360837.

It can be divided in two parts, 6 and 288000, that multiplied together give a cube (1728000 = 120³).

The spelling of 6288000 in words is "six million, two hundred eighty-eight thousand".