27520 has 32 divisors (see below), whose sum is σ = 67320. Its totient is φ = 10752.

The previous prime is 27509. The next prime is 27527. The reversal of 27520 is 2572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 27494 and 27503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27527) 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, 619 + ... + 661.

2²⁷⁵²⁰ is an apocalyptic number.

27520 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 27520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33660).

27520 is an abundant number, since it is smaller than the sum of its proper divisors (39800).

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

27520 is an equidigital number, since it uses as much as digits as its factorization.

27520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 27520 is about 165.8915308266. The cubic root of 27520 is about 30.1913692572.

The spelling of 27520 in words is "twenty-seven thousand, five hundred twenty".