368736 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 116864.

The previous prime is 368729. The next prime is 368737. The reversal of 368736 is 637863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 368697 and 368706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368737) by changing a digit.

368736 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 7 ways as a sum of consecutive naturals, for example, 2125 + ... + 2291.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2³⁶⁸⁷³⁶ 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 368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

368736 is an abundant number, since it is smaller than the sum of its proper divisors (647328).

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

368736 is a wasteful number, since it uses less digits than its factorization.

368736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 368736 is about 607.2363625476. The cubic root of 368736 is about 71.7086995780.

The spelling of 368736 in words is "three hundred sixty-eight thousand, seven hundred thirty-six".