363768 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 115808.

The previous prime is 363767. The next prime is 363773. The reversal of 363768 is 867363.

It is a happy number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2³⁶³⁷⁶⁸ 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 363768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

363768 is an abundant number, since it is smaller than the sum of its proper divisors (586632).

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

363768 is a wasteful number, since it uses less digits than its factorization.

363768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

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

The square root of 363768 is about 603.1318263862. The cubic root of 363768 is about 71.3851972860.

It can be divided in two parts, 363 and 768, that multiplied together give a square (278784 = 528²).

The spelling of 363768 in words is "three hundred sixty-three thousand, seven hundred sixty-eight".