6293664 has 108 divisors (see below), whose sum is σ = 19755918. Its totient is φ = 1889280.

The previous prime is 6293647. The next prime is 6293669. The reversal of 6293664 is 4663926.

It can be written as a sum of positive squares in 3 ways, for example, as 1040400 + 5253264 = 1020^2 + 2292^2 .

It is a super-2 number, since 2×6293664² = 79220413089792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6293669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 153484 + ... + 153524.

Almost surely, 2^6293664 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 6293664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877959).

6293664 is an abundant number, since it is smaller than the sum of its proper divisors (13462254).

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

6293664 is a wasteful number, since it uses less digits than its factorization.

6293664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 59 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 6293664 is about 2508.7176006877. The cubic root of 6293664 is about 184.6295386584.

The spelling of 6293664 in words is "six million, two hundred ninety-three thousand, six hundred sixty-four".