35360 has 48 divisors (see below), whose sum is σ = 95256. Its totient is φ = 12288.

The previous prime is 35353. The next prime is 35363. The reversal of 35360 is 6353.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 8464 = 164^2 + 92^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (35363) by changing a digit.

35360 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, 2072 + ... + 2088.

2³⁵³⁶⁰ 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 35360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628).

35360 is an abundant number, since it is smaller than the sum of its proper divisors (59896).

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

35360 is a wasteful number, since it uses less digits than its factorization.

35360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 35360 is about 188.0425483767. The cubic root of 35360 is about 32.8224316119.

35360 divided by its sum of digits (17) gives a triangular number (2080 = T₆₄).

The spelling of 35360 in words is "thirty-five thousand, three hundred sixty".