35696 has 20 divisors (see below), whose sum is σ = 72912. Its totient is φ = 16896.

The previous prime is 35677. The next prime is 35729. The reversal of 35696 is 69653.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 35696.

It is an unprimeable number.

35696 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, 320 + ... + 416.

2³⁵⁶⁹⁶ 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 35696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456).

35696 is an abundant number, since it is smaller than the sum of its proper divisors (37216).

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

35696 is a wasteful number, since it uses less digits than its factorization.

35696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 35696 is about 188.9338508579. The cubic root of 35696 is about 32.9260664996.

The spelling of 35696 in words is "thirty-five thousand, six hundred ninety-six".