35688 has 16 divisors (see below), whose sum is σ = 89280. Its totient is φ = 11888.

The previous prime is 35677. The next prime is 35729. The reversal of 35688 is 88653.

It is a d-powerful number, because it can be written as 3⁷ + 5 + 6³ + 8³ + 8⁵ .

It is a plaindrome in base 10.

It is an unprimeable number.

35688 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, 720 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2³⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

35688 is an abundant number, since it is smaller than the sum of its proper divisors (53592).

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 (44640).

35688 is a wasteful number, since it uses less digits than its factorization.

35688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

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

The square root of 35688 is about 188.9126782405. The cubic root of 35688 is about 32.9236065768.

It can be divided in two parts, 356 and 88, that added together give a palindrome (444).

The spelling of 35688 in words is "thirty-five thousand, six hundred eighty-eight".