355632 has 40 divisors (see below), whose sum is σ = 952320. Its totient is φ = 114240.

The previous prime is 355609. The next prime is 355633. The reversal of 355632 is 236553.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3¹¹ + 5 + 6⁴ + 5 + 3¹¹ + 2⁵ .

It is not an unprimeable number, because it can be changed into a prime (355633) by changing a digit.

355632 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, 1369 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2³⁵⁵⁶³² 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 355632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160).

355632 is an abundant number, since it is smaller than the sum of its proper divisors (596688).

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

355632 is a wasteful number, since it uses less digits than its factorization.

355632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 355632 is about 596.3488911703. The cubic root of 355632 is about 70.8489813949.

The spelling of 355632 in words is "three hundred fifty-five thousand, six hundred thirty-two".