30632 has 16 divisors (see below), whose sum is σ = 65760. Its totient is φ = 13104.

The previous prime is 30631. The next prime is 30637. The reversal of 30632 is 23603.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30631) 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, 218 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (4110).

2³⁰⁶³² is an apocalyptic number.

It is an amenable number.

30632 is an abundant number, since it is smaller than the sum of its proper divisors (35128).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32880).

30632 is a wasteful number, since it uses less digits than its factorization.

30632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 30632 is about 175.0199988573. The cubic root of 30632 is about 31.2890072895.

The spelling of 30632 in words is "thirty thousand, six hundred thirty-two".