35680 has 24 divisors (see below), whose sum is σ = 84672. Its totient is φ = 14208.

The previous prime is 35677. The next prime is 35729. The reversal of 35680 is 8653.

35680 = T₃₃ + T₃₄ + ... + T₆₂.

35680 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³⁵⁶⁸⁰ 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 35680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

35680 is an abundant number, since it is smaller than the sum of its proper divisors (48992).

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

35680 is a wasteful number, since it uses less digits than its factorization.

35680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 35680 is about 188.8915032499. The cubic root of 35680 is about 32.9211462863.

The spelling of 35680 in words is "thirty-five thousand, six hundred eighty".