363660 has 96 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 80640.

The previous prime is 363659. The next prime is 363677. The reversal of 363660 is 66363.

363660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 363660.

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 363660.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12526 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2³⁶³⁶⁶⁰ is an apocalyptic number.

363660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

363660 is an abundant number, since it is smaller than the sum of its proper divisors (845940).

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

363660 is a wasteful number, since it uses less digits than its factorization.

363660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 363660 is about 603.0422870745. The cubic root of 363660 is about 71.3781320095.

The spelling of 363660 in words is "three hundred sixty-three thousand, six hundred sixty".