6347664 has 60 divisors (see below), whose sum is σ = 18816876. Its totient is φ = 1990656.

The previous prime is 6347659. The next prime is 6347669. The reversal of 6347664 is 4667436.

It is an interprime number because it is at equal distance from previous prime (6347659) and next prime (6347669).

It can be written as a sum of positive squares in 2 ways, for example, as 4410000 + 1937664 = 2100^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6 + 3 + 4¹⁰ + 7⁷ + 6⁴ + 6⁷ + 4¹¹ .

It is not an unprimeable number, because it can be changed into a prime (6347669) 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, 1152 + ... + 3744.

Almost surely, 2^6347664 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 6347664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408438).

6347664 is an abundant number, since it is smaller than the sum of its proper divisors (12469212).

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

6347664 is a wasteful number, since it uses less digits than its factorization.

6347664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2615 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 6347664 is about 2519.4570843735. The cubic root of 6347664 is about 185.1560796292.

The spelling of 6347664 in words is "six million, three hundred forty-seven thousand, six hundred sixty-four".