526788 has 18 divisors (see below), whose sum is σ = 1331694. Its totient is φ = 175584.

The previous prime is 526781. The next prime is 526829. The reversal of 526788 is 887625.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 248004 = 528^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14633 = 526788 / (5 + 2 + 6 + 7 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (526781) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7281 + ... + 7352.

It is an arithmetic number, because the mean of its divisors is an integer number (73983).

2⁵²⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

526788 is an abundant number, since it is smaller than the sum of its proper divisors (804906).

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

526788 is a wasteful number, since it uses less digits than its factorization.

526788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14638 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 526788 is about 725.8016257904. The cubic root of 526788 is about 80.7629098141.

The spelling of 526788 in words is "five hundred twenty-six thousand, seven hundred eighty-eight".