360768 has 28 divisors (see below), whose sum is σ = 955040. Its totient is φ = 120192.

The previous prime is 360749. The next prime is 360769. The reversal of 360768 is 867063.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360768.

It is not an unprimeable number, because it can be changed into a prime (360769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 748 + ... + 1131.

2³⁶⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

360768 is an abundant number, since it is smaller than the sum of its proper divisors (594272).

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

360768 is a wasteful number, since it uses less digits than its factorization.

360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 360768 is about 600.6396590303. The cubic root of 360768 is about 71.1884170864.

It can be divided in two parts, 360 and 768, that added together give a triangular number (1128 = T₄₇).

The spelling of 360768 in words is "three hundred sixty thousand, seven hundred sixty-eight".