523680 has 48 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 139520.

The previous prime is 523673. The next prime is 523681. The reversal of 523680 is 86325.

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 self number, because there is not a number n which added to its sum of digits gives 523680.

It is not an unprimeable number, because it can be changed into a prime (523681) by changing a digit.

523680 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, 66 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁵²³⁶⁸⁰ 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 523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

523680 is an abundant number, since it is smaller than the sum of its proper divisors (1127424).

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

523680 is a wasteful number, since it uses less digits than its factorization.

523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 523680 is about 723.6573774930. The cubic root of 523680 is about 80.6037652148.

The spelling of 523680 in words is "five hundred twenty-three thousand, six hundred eighty".