363630 has 64 divisors (see below), whose sum is σ = 995328. Its totient is φ = 84480.

The previous prime is 363619. The next prime is 363659. The reversal of 363630 is 36363.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 363597 and 363606.

It is a congruent number.

It is an unprimeable number.

363630 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 31 ways as a sum of consecutive naturals, for example, 11715 + ... + 11745.

It is an arithmetic number, because the mean of its divisors is an integer number (15552).

2³⁶³⁶³⁰ is an apocalyptic number.

363630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 363630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497664).

363630 is an abundant number, since it is smaller than the sum of its proper divisors (631698).

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

363630 is a wasteful number, since it uses less digits than its factorization.

363630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 363630 is about 603.0174126839. The cubic root of 363630 is about 71.3761691845.

Subtracting from 363630 its sum of digits (21), we obtain a square (363609 = 603²).

Adding to 363630 its reverse (36363), we get a palindrome (399993).

The spelling of 363630 in words is "three hundred sixty-three thousand, six hundred thirty".