6400896 has 64 divisors (see below), whose sum is σ = 17299200. Its totient is φ = 2096640.

The previous prime is 6400873. The next prime is 6400921. The reversal of 6400896 is 6980046.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30231 + ... + 30441.

It is an arithmetic number, because the mean of its divisors is an integer number (270300).

Almost surely, 2^6400896 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 6400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649600).

6400896 is an abundant number, since it is smaller than the sum of its proper divisors (10898304).

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

6400896 is a wasteful number, since it uses less digits than its factorization.

6400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6400896 is about 2529.9992094860. Note that the first 3 decimals coincide. The cubic root of 6400896 is about 185.6722172394.

The spelling of 6400896 in words is "six million, four hundred thousand, eight hundred ninety-six".