6596640 has 120 divisors (see below), whose sum is σ = 23326380. Its totient is φ = 1755648.

The previous prime is 6596633. The next prime is 6596641. The reversal of 6596640 is 466956.

It is a happy number.

6596640 is a `hidden beast` number, since 6 + 5 + 9 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 63504 = 2556^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 6596595 and 6596604.

It is not an unprimeable number, because it can be changed into a prime (6596641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12706 + ... + 13214.

Almost surely, 2^6596640 is an apocalyptic number.

6596640 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 6596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663190).

6596640 is an abundant number, since it is smaller than the sum of its proper divisors (16729740).

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

6596640 is a wasteful number, since it uses less digits than its factorization.

6596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6596640 is about 2568.3924933701. The cubic root of 6596640 is about 187.5459087585.

The spelling of 6596640 in words is "six million, five hundred ninety-six thousand, six hundred forty".