235800 has 72 divisors (see below), whose sum is σ = 797940. Its totient is φ = 62400.

The previous prime is 235793. The next prime is 235811. The reversal of 235800 is 8532.

235800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

235800 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 17 ways as a sum of consecutive naturals, for example, 1735 + ... + 1865.

2²³⁵⁸⁰⁰ is an apocalyptic number.

235800 is a gapful number since it is divisible by the number (20) 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 235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398970).

235800 is an abundant number, since it is smaller than the sum of its proper divisors (562140).

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

235800 is a wasteful number, since it uses less digits than its factorization.

235800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235800 is about 485.5924216872. The cubic root of 235800 is about 61.7800042137.

It can be divided in two parts, 235 and 800, that added together give a triangular number (1035 = T₄₅).

The spelling of 235800 in words is "two hundred thirty-five thousand, eight hundred".