19630 has 16 divisors (see below), whose sum is σ = 38304. Its totient is φ = 7200.

The previous prime is 19609. The next prime is 19661. The reversal of 19630 is 3691.

19630 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

19630 is strictly pandigital in base 6.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 19598 and 19607.

It is a congruent number.

It is an unprimeable number.

19630 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 7 ways as a sum of consecutive naturals, for example, 55 + ... + 205.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

2¹⁹⁶³⁰ is an apocalyptic number.

19630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19630 is a deficient number, since it is larger than the sum of its proper divisors (18674).

19630 is a wasteful number, since it uses less digits than its factorization.

19630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 19630 is about 140.1071018899. The cubic root of 19630 is about 26.9757441052.

The spelling of 19630 in words is "nineteen thousand, six hundred thirty".