26520 has 64 divisors (see below), whose sum is σ = 90720. Its totient is φ = 6144.

The previous prime is 26513. The next prime is 26539. The reversal of 26520 is 2562.

It is a Harshad number since it is a multiple of its sum of digits (15).

26520 is an undulating number in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 2 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 26520.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552 + ... + 1568.

2²⁶⁵²⁰ is an apocalyptic number.

26520 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 26520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

26520 is an abundant number, since it is smaller than the sum of its proper divisors (64200).

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

26520 is a wasteful number, since it uses less digits than its factorization.

26520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 26520 is about 162.8496238866. The cubic root of 26520 is about 29.8211581944.

The spelling of 26520 in words is "twenty-six thousand, five hundred twenty".