363760 has 20 divisors (see below), whose sum is σ = 845928. Its totient is φ = 145472.

The previous prime is 363757. The next prime is 363761. The reversal of 363760 is 67363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 2194 + ... + 2353.

2³⁶³⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

363760 is an abundant number, since it is smaller than the sum of its proper divisors (482168).

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

363760 is a wasteful number, since it uses less digits than its factorization.

363760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 363760 is about 603.1251943005. The cubic root of 363760 is about 71.3846739801.

The spelling of 363760 in words is "three hundred sixty-three thousand, seven hundred sixty".