526880 has 48 divisors (see below), whose sum is σ = 1292760. Its totient is φ = 202752.

The previous prime is 526871. The next prime is 526909. The reversal of 526880 is 88625.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 80656 = 668^2 + 284^2 .

It is an unprimeable number.

526880 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 7 ways as a sum of consecutive naturals, for example, 5876 + ... + 5964.

2⁵²⁶⁸⁸⁰ 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 526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646380).

526880 is an abundant number, since it is smaller than the sum of its proper divisors (765880).

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

526880 is a wasteful number, since it uses less digits than its factorization.

526880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 526880 is about 725.8650012227. The cubic root of 526880 is about 80.7676111077.

Subtracting from 526880 its sum of digits (29), we obtain a triangular number (526851 = T₁₀₂₆).

The spelling of 526880 in words is "five hundred twenty-six thousand, eight hundred eighty".