353760 has 96 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 84480.

The previous prime is 353747. The next prime is 353767. The reversal of 353760 is 67353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×353760² = 250292275200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 353760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353767) by changing a digit.

353760 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 15 ways as a sum of consecutive naturals, for example, 5247 + ... + 5313.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2³⁵³⁷⁶⁰ is an apocalyptic number.

353760 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 353760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

353760 is an abundant number, since it is smaller than the sum of its proper divisors (880032).

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

353760 is a wasteful number, since it uses less digits than its factorization.

353760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 353760 is about 594.7772692361. Note that the first 3 decimals coincide. The cubic root of 353760 is about 70.7244493969.

The spelling of 353760 in words is "three hundred fifty-three thousand, seven hundred sixty".