235616 has 24 divisors (see below), whose sum is σ = 478800. Its totient is φ = 114048.

The previous prime is 235607. The next prime is 235621. The reversal of 235616 is 616532.

235616 = T₁₀₅ + T₁₀₆ + ... + T₁₃₆.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 235591 and 235600.

It is a congruent number.

It is an unprimeable number.

235616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1085 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2²³⁵⁶¹⁶ 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 235616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239400).

235616 is an abundant number, since it is smaller than the sum of its proper divisors (243184).

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

235616 is a wasteful number, since it uses less digits than its factorization.

235616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 235616 is about 485.4029254135. The cubic root of 235616 is about 61.7639305936.

The spelling of 235616 in words is "two hundred thirty-five thousand, six hundred sixteen".