10720 has 24 divisors (see below), whose sum is σ = 25704. Its totient is φ = 4224.

The previous prime is 10711. The next prime is 10723. The reversal of 10720 is 2701.

It is a super-2 number, since 2×10720² = 229836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10697 and 10706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10723) 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, 127 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (1071).

2¹⁰⁷²⁰ is an apocalyptic number.

10720 is a gapful number since it is divisible by the number (10) 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 10720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852).

10720 is an abundant number, since it is smaller than the sum of its proper divisors (14984).

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

10720 is an equidigital number, since it uses as much as digits as its factorization.

10720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 10720 is about 103.5374328444. The cubic root of 10720 is about 22.0494754290.

The spelling of 10720 in words is "ten thousand, seven hundred twenty", and thus it is an iban number.