35268 has 12 divisors (see below), whose sum is σ = 82320. Its totient is φ = 11752.

The previous prime is 35267. The next prime is 35279. The reversal of 35268 is 86253.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (35267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1458 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

2³⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

35268 is an abundant number, since it is smaller than the sum of its proper divisors (47052).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160).

35268 is a wasteful number, since it uses less digits than its factorization.

35268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2944 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 35268 is about 187.7977635650. The cubic root of 35268 is about 32.7939409788.

It can be divided in two parts, 35 and 268, that added together give a palindrome (303).

The spelling of 35268 in words is "thirty-five thousand, two hundred sixty-eight".