355680 has 144 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 82944.

The previous prime is 355679. The next prime is 355697. The reversal of 355680 is 86553.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18711 + ... + 18729.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2³⁵⁵⁶⁸⁰ is an apocalyptic number.

355680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

355680 is an abundant number, since it is smaller than the sum of its proper divisors (1020240).

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

355680 is a wasteful number, since it uses less digits than its factorization.

355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 355680 is about 596.3891347099. The cubic root of 355680 is about 70.8521687703.

It can be divided in two parts, 355 and 680, that added together give a triangular number (1035 = T₄₅).

The spelling of 355680 in words is "three hundred fifty-five thousand, six hundred eighty".