235824 has 40 divisors (see below), whose sum is σ = 647280. Its totient is φ = 73984.

The previous prime is 235813. The next prime is 235849. The reversal of 235824 is 428532.

It is a super-2 number, since 2×235824² = 111225917952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 235794 and 235803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 235824.

It is an unprimeable number.

235824 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, 13864 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (16182).

235824 is a Friedman number, since it can be written as 48*(22-5)^3, using all its digits and the basic arithmetic operations.

2²³⁵⁸²⁴ is an apocalyptic number.

235824 is a gapful number since it is divisible by the number (24) 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 235824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323640).

235824 is an abundant number, since it is smaller than the sum of its proper divisors (411456).

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

235824 is an equidigital number, since it uses as much as digits as its factorization.

235824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 22 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 235824 is about 485.6171331409. The cubic root of 235824 is about 61.7821001563.

The spelling of 235824 in words is "two hundred thirty-five thousand, eight hundred twenty-four".