526320 has 120 divisors (see below), whose sum is σ = 1915056. Its totient is φ = 129024.

The previous prime is 526307. The next prime is 526367. The reversal of 526320 is 23625.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5 + 2 + 3⁶ + 6⁴ + 2¹⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 526293 and 526302.

It is a congruent number.

It is an unprimeable number.

526320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12219 + ... + 12261.

2⁵²⁶³²⁰ 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 526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528).

526320 is an abundant number, since it is smaller than the sum of its proper divisors (1388736).

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

526320 is a wasteful number, since it uses less digits than its factorization.

526320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 526320 is about 725.4791520092. The cubic root of 526320 is about 80.7389860596.

Adding to 526320 its reverse (23625), we get a palindrome (549945).

The spelling of 526320 in words is "five hundred twenty-six thousand, three hundred twenty".