353640 has 64 divisors (see below), whose sum is σ = 1215360. Its totient is φ = 80640.

The previous prime is 353629. The next prime is 353641. The reversal of 353640 is 46353.

It is a super-2 number, since 2×353640² = 250122499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353640.

It is not an unprimeable number, because it can be changed into a prime (353641) by changing a digit.

353640 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, 630 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (18990).

2³⁵³⁶⁴⁰ is an apocalyptic number.

353640 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 353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607680).

353640 is an abundant number, since it is smaller than the sum of its proper divisors (861720).

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

353640 is a wasteful number, since it uses less digits than its factorization.

353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 353640 is about 594.6763825813. The cubic root of 353640 is about 70.7164516077.

Adding to 353640 its reverse (46353), we get a palindrome (399993).

The spelling of 353640 in words is "three hundred fifty-three thousand, six hundred forty".