526944 has 48 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 159360.

The previous prime is 526943. The next prime is 526951. The reversal of 526944 is 449625.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 526944.

It is not an unprimeable number, because it can be changed into a prime (526943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁵²⁶⁹⁴⁴ 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 526944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

526944 is an abundant number, since it is smaller than the sum of its proper divisors (985056).

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

526944 is a wasteful number, since it uses less digits than its factorization.

526944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 526944 is about 725.9090852166. The cubic root of 526944 is about 80.7708812501.

It can be divided in two parts, 52 and 6944, that added together give a palindrome (6996).

The spelling of 526944 in words is "five hundred twenty-six thousand, nine hundred forty-four".