526560 has 48 divisors (see below), whose sum is σ = 1660176. Its totient is φ = 140288.

The previous prime is 526543. The next prime is 526571. The reversal of 526560 is 65625.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 526560.

It is a congruent number.

It is an unprimeable number.

526560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 69 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (34587).

2⁵²⁶⁵⁶⁰ 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 526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830088).

526560 is an abundant number, since it is smaller than the sum of its proper divisors (1133616).

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

526560 is a wasteful number, since it uses less digits than its factorization.

526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 526560 is about 725.6445410805. The cubic root of 526560 is about 80.7512564224.

It can be divided in two parts, 5 and 26560, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 526560 in words is "five hundred twenty-six thousand, five hundred sixty".