20700 has 54 divisors (see below), whose sum is σ = 67704. Its totient is φ = 5280.

The previous prime is 20693. The next prime is 20707. The reversal of 20700 is 702.

It is an interprime number because it is at equal distance from previous prime (20693) and next prime (20707).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 14.

It is a nialpdrome in base 12 and base 15.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20707) by changing a digit.

20700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 889 + ... + 911.

2²⁰⁷⁰⁰ is an apocalyptic number.

20700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852).

20700 is an abundant number, since it is smaller than the sum of its proper divisors (47004).

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

20700 is a wasteful number, since it uses less digits than its factorization.

20700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 20700 is about 143.8749456994. The cubic root of 20700 is about 27.4572338028.

The spelling of 20700 in words is "twenty thousand, seven hundred", and thus it is an iban number.