355600 has 60 divisors (see below), whose sum is σ = 984064. Its totient is φ = 120960.

The previous prime is 355591. The next prime is 355609. The reversal of 355600 is 6553.

It is an interprime number because it is at equal distance from previous prime (355591) and next prime (355609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355609) by changing a digit.

355600 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 11 ways as a sum of consecutive naturals, for example, 2737 + ... + 2863.

2³⁵⁵⁶⁰⁰ 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 355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492032).

355600 is an abundant number, since it is smaller than the sum of its proper divisors (628464).

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

355600 is a wasteful number, since it uses less digits than its factorization.

355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 355600 is about 596.3220606350. The cubic root of 355600 is about 70.8468563185.

The spelling of 355600 in words is "three hundred fifty-five thousand, six hundred".