526768 has 40 divisors (see below), whose sum is σ = 1156176. Its totient is φ = 230400.

The previous prime is 526763. The next prime is 526777. The reversal of 526768 is 867625.

It is a d-powerful number, because it can be written as 5⁴ + 2¹⁸ + 7³ + 6³ + 6⁴ + 8⁶ .

It is not an unprimeable number, because it can be changed into a prime (526763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7180 + ... + 7252.

2⁵²⁶⁷⁶⁸ 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 526768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578088).

526768 is an abundant number, since it is smaller than the sum of its proper divisors (629408).

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

526768 is a wasteful number, since it uses less digits than its factorization.

526768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 526768 is about 725.7878477902. The cubic root of 526768 is about 80.7618877213.

It can be divided in two parts, 5267 and 68, that added together give a palindrome (5335).

The spelling of 526768 in words is "five hundred twenty-six thousand, seven hundred sixty-eight".