235296 has 72 divisors (see below), whose sum is σ = 720720. Its totient is φ = 72576.

The previous prime is 235289. The next prime is 235307. The reversal of 235296 is 692532.

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

It is a nialpdrome in base 12.

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, 5451 + ... + 5493.

It is an arithmetic number, because the mean of its divisors is an integer number (10010).

235296 is a Friedman number, since it can be written as (9+5)^6/32-2, using all its digits and the basic arithmetic operations.

2²³⁵²⁹⁶ 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 235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

235296 is an abundant number, since it is smaller than the sum of its proper divisors (485424).

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

235296 is a wasteful number, since it uses less digits than its factorization.

235296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 235296 is about 485.0731903538. The cubic root of 235296 is about 61.7359565282.

The spelling of 235296 in words is "two hundred thirty-five thousand, two hundred ninety-six".