368016 has 80 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 102400.

The previous prime is 367957. The next prime is 368021. The reversal of 368016 is 610863.

368016 = 74² + 75² + ... + 114².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8956 + ... + 8996.

2³⁶⁸⁰¹⁶ 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 368016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

368016 is an abundant number, since it is smaller than the sum of its proper divisors (756912).

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

368016 is a wasteful number, since it uses less digits than its factorization.

368016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 368016 is about 606.6432229903. The cubic root of 368016 is about 71.6619959699.

Adding to 368016 its reverse (610863), we get a palindrome (978879).

The spelling of 368016 in words is "three hundred sixty-eight thousand, sixteen".