35580 has 24 divisors (see below), whose sum is σ = 99792. Its totient is φ = 9472.

The previous prime is 35573. The next prime is 35591. The reversal of 35580 is 8553.

35580 = 8² + 9² + ... + 47².

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

35580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2³⁵⁵⁸⁰ is an apocalyptic number.

35580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35580 is an abundant number, since it is smaller than the sum of its proper divisors (64212).

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 (49896).

35580 is a wasteful number, since it uses less digits than its factorization.

35580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 35580 is about 188.6266153012. The cubic root of 35580 is about 32.8903615795.

Subtracting from 35580 its product of nonzero digits (600), we obtain a triangular number (34980 = T₂₆₄).

It can be divided in two parts, 355 and 80, that added together give a triangular number (435 = T₂₉).

The spelling of 35580 in words is "thirty-five thousand, five hundred eighty".