36630 has 48 divisors (see below), whose sum is σ = 106704. Its totient is φ = 8640.

The previous prime is 36629. The next prime is 36637. The reversal of 36630 is 3663.

36630 = 23² + 24² + ... + 49².

36630 is a `hidden beast` number, since 3 + 663 + 0 = 666.

36630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (2223).

2³⁶⁶³⁰ is an apocalyptic number.

36630 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 36630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352).

36630 is an abundant number, since it is smaller than the sum of its proper divisors (70074).

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

36630 is a wasteful number, since it uses less digits than its factorization.

36630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36630 is about 191.3896548928. The cubic root of 36630 is about 33.2107721371.

It can be divided in two parts, 36 and 630, that added together give a palindrome (666).

The spelling of 36630 in words is "thirty-six thousand, six hundred thirty".