235648 has 32 divisors (see below), whose sum is σ = 538560. Its totient is φ = 100608.

The previous prime is 235621. The next prime is 235661. The reversal of 235648 is 846532.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2¹³ + 3¹¹ + 6⁶ + 5⁵ + 4² + 8³ .

It is an unprimeable number.

235648 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 3 ways as a sum of consecutive naturals, for example, 765 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2²³⁵⁶⁴⁸ is an apocalyptic number.

235648 is a gapful number since it is divisible by the number (28) 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 235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280).

235648 is an abundant number, since it is smaller than the sum of its proper divisors (302912).

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

235648 is an equidigital number, since it uses as much as digits as its factorization.

235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 235648 is about 485.4358866009. The cubic root of 235648 is about 61.7667266068.

It can be divided in two parts, 23 and 5648, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 235648 in words is "two hundred thirty-five thousand, six hundred forty-eight".