535680 has 128 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 138240.

The previous prime is 535679. The next prime is 535697. The reversal of 535680 is 86535.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17265 + ... + 17295.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2⁵³⁵⁶⁸⁰ 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 535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

535680 is an abundant number, since it is smaller than the sum of its proper divisors (1422720).

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

535680 is a wasteful number, since it uses less digits than its factorization.

535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 535680 is about 731.9016327349. The cubic root of 535680 is about 81.2147934253.

The spelling of 535680 in words is "five hundred thirty-five thousand, six hundred eighty".