236768 has 36 divisors (see below), whose sum is σ = 545832. Its totient is φ = 100800.

The previous prime is 236749. The next prime is 236771. The reversal of 236768 is 867632.

236768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

236768 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 5 ways as a sum of consecutive naturals, for example, 1493 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (15162).

2²³⁶⁷⁶⁸ is an apocalyptic number.

236768 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 236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272916).

236768 is an abundant number, since it is smaller than the sum of its proper divisors (309064).

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

236768 is a wasteful number, since it uses less digits than its factorization.

236768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 236768 is about 486.5881215155. The cubic root of 236768 is about 61.8644280139.

It can be divided in two parts, 2 and 36768, that multiplied together give a triangular number (73536 = T₃₈₃).

The spelling of 236768 in words is "two hundred thirty-six thousand, seven hundred sixty-eight".