35868 has 36 divisors (see below), whose sum is σ = 98952. Its totient is φ = 10080.

The previous prime is 35863. The next prime is 35869. The reversal of 35868 is 86853.

35868 is nontrivially palindromic in base 13.

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35868.

It is not an unprimeable number, because it can be changed into a prime (35863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558 + ... + 618.

2³⁵⁸⁶⁸ 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 35868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476).

35868 is an abundant number, since it is smaller than the sum of its proper divisors (63084).

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

35868 is a wasteful number, since it uses less digits than its factorization.

35868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 35868 is about 189.3884896186. The cubic root of 35868 is about 32.9788661745.

It can be divided in two parts, 35 and 868, that added together give a triangular number (903 = T₄₂).

The spelling of 35868 in words is "thirty-five thousand, eight hundred sixty-eight".