6704640 has 160 divisors (see below), whose sum is σ = 24060960. Its totient is φ = 1769472.

The previous prime is 6704617. The next prime is 6704641. The reversal of 6704640 is 464076.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6704641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69072 + ... + 69168.

It is an arithmetic number, because the mean of its divisors is an integer number (150381).

Almost surely, 2^6704640 is an apocalyptic number.

6704640 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 6704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030480).

6704640 is an abundant number, since it is smaller than the sum of its proper divisors (17356320).

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

6704640 is an equidigital number, since it uses as much as digits as its factorization.

6704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6704640 is about 2589.3319601781. The cubic root of 6704640 is about 188.5638721884.

The spelling of 6704640 in words is "six million, seven hundred four thousand, six hundred forty".