6526944 has 72 divisors (see below), whose sum is σ = 18810792. Its totient is φ = 2146560.

The previous prime is 6526909. The next prime is 6526967. The reversal of 6526944 is 4496256.

6526944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (51840) is a multiple of the sum of its prime factors (320).

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 6526899 and 6526908.

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, 37642 + ... + 37814.

It is an arithmetic number, because the mean of its divisors is an integer number (261261).

Almost surely, 2^6526944 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 6526944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405396).

6526944 is an abundant number, since it is smaller than the sum of its proper divisors (12283848).

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

6526944 is a wasteful number, since it uses less digits than its factorization.

6526944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 6526944 is about 2554.7884452533. The cubic root of 6526944 is about 186.8830710190.

The spelling of 6526944 in words is "six million, five hundred twenty-six thousand, nine hundred forty-four".