368416 has 24 divisors (see below), whose sum is σ = 752220. Its totient is φ = 177408.

The previous prime is 368411. The next prime is 368443. The reversal of 368416 is 614863.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 3600 = 604^2 + 60^2 .

It is not an unprimeable number, because it can be changed into a prime (368411) by changing a digit.

368416 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 3 ways as a sum of consecutive naturals, for example, 730 + ... + 1126.

2³⁶⁸⁴¹⁶ 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 368416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376110).

368416 is an abundant number, since it is smaller than the sum of its proper divisors (383804).

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

368416 is a wasteful number, since it uses less digits than its factorization.

368416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 368416 is about 606.9728165248. The cubic root of 368416 is about 71.6879499314.

It can be divided in two parts, 368 and 416, that added together give a square (784 = 28²).

The spelling of 368416 in words is "three hundred sixty-eight thousand, four hundred sixteen".