20672 has 28 divisors (see below), whose sum is σ = 45720. Its totient is φ = 9216.

The previous prime is 20663. The next prime is 20681. The reversal of 20672 is 27602.

It is an interprime number because it is at equal distance from previous prime (20663) and next prime (20681).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 20672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1079 + ... + 1097.

2²⁰⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860).

20672 is an abundant number, since it is smaller than the sum of its proper divisors (25048).

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

20672 is a wasteful number, since it uses less digits than its factorization.

20672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 20672 is about 143.7776060449. Note that the first 3 decimals coincide. The cubic root of 20672 is about 27.4448481434. Note that the first 3 decimals are identical.

The spelling of 20672 in words is "twenty thousand, six hundred seventy-two".