6288640 has 72 divisors (see below), whose sum is σ = 16004520. Its totient is φ = 2367488.

The previous prime is 6288619. The next prime is 6288643. The reversal of 6288640 is 468826.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 5456896 = 912^2 + 2336^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 6288596 and 6288605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6288643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369912 + ... + 369928.

It is an arithmetic number, because the mean of its divisors is an integer number (222285).

Almost surely, 2^6288640 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 6288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002260).

6288640 is an abundant number, since it is smaller than the sum of its proper divisors (9715880).

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

6288640 is an frugal number, since it uses more digits than its factorization.

6288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 6288640 is about 2507.7160923837. The cubic root of 6288640 is about 184.5803979285.

It can be divided in two parts, 62886 and 40, that added together give a palindrome (62926).

The spelling of 6288640 in words is "six million, two hundred eighty-eight thousand, six hundred forty".