35600 has 30 divisors (see below), whose sum is σ = 86490. Its totient is φ = 14080.

The previous prime is 35597. The next prime is 35603. The reversal of 35600 is 653.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (35597) and next prime (35603).

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 35344 = 16^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (35603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 356 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (2883).

2³⁵⁶⁰⁰ 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 35600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43245).

35600 is an abundant number, since it is smaller than the sum of its proper divisors (50890).

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

35600 is a wasteful number, since it uses less digits than its factorization.

35600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 35600 is about 188.6796226411. The cubic root of 35600 is about 32.8965231311.

The spelling of 35600 in words is "thirty-five thousand, six hundred".