368340 has 48 divisors (see below), whose sum is σ = 1180032. Its totient is φ = 84096.

The previous prime is 368327. The next prime is 368359. The reversal of 368340 is 43863.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 368340.

It is a congruent number.

It is an unprimeable number.

368340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (24584).

2³⁶⁸³⁴⁰ is an apocalyptic number.

368340 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 368340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590016).

368340 is an abundant number, since it is smaller than the sum of its proper divisors (811692).

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

368340 is a wasteful number, since it uses less digits than its factorization.

368340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 368340 is about 606.9102075266. The cubic root of 368340 is about 71.6830201248.

The spelling of 368340 in words is "three hundred sixty-eight thousand, three hundred forty".