535900 has 36 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 204160.

The previous prime is 535879. The next prime is 535919. The reversal of 535900 is 9535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2184 + ... + 2416.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁵³⁵⁹⁰⁰ is an apocalyptic number.

535900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

535900 is an abundant number, since it is smaller than the sum of its proper divisors (682772).

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

535900 is a wasteful number, since it uses less digits than its factorization.

535900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 535900 is about 732.0519107276. The cubic root of 535900 is about 81.2259100180.

The spelling of 535900 in words is "five hundred thirty-five thousand, nine hundred".