6706400 has 72 divisors (see below), whose sum is σ = 16733304. Its totient is φ = 2624000.

The previous prime is 6706397. The next prime is 6706421. The reversal of 6706400 is 46076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66350 + ... + 66450.

It is an arithmetic number, because the mean of its divisors is an integer number (232407).

Almost surely, 2^6706400 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 6706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366652).

6706400 is an abundant number, since it is smaller than the sum of its proper divisors (10026904).

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

6706400 is a wasteful number, since it uses less digits than its factorization.

6706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 6706400 is about 2589.6717938766. The cubic root of 6706400 is about 188.5803703836.

The spelling of 6706400 in words is "six million, seven hundred six thousand, four hundred".