6268640 has 96 divisors (see below), whose sum is σ = 17599680. Its totient is φ = 2064384.

The previous prime is 6268637. The next prime is 6268643. The reversal of 6268640 is 468626.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6268637) and next prime (6268643).

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

It is a junction number, because it is equal to n+sod(n) for n = 6268597 and 6268606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32384 + ... + 32576.

It is an arithmetic number, because the mean of its divisors is an integer number (183330).

Almost surely, 2^6268640 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 6268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799840).

6268640 is an abundant number, since it is smaller than the sum of its proper divisors (11331040).

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

6268640 is a wasteful number, since it uses less digits than its factorization.

6268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 6268640 is about 2503.7252245404. The cubic root of 6268640 is about 184.3845141121.

It can be divided in two parts, 62686 and 40, that added together give a palindrome (62726).

The spelling of 6268640 in words is "six million, two hundred sixty-eight thousand, six hundred forty".