26532 has 36 divisors (see below), whose sum is σ = 74256. Its totient is φ = 7920.

The previous prime is 26513. The next prime is 26539. The reversal of 26532 is 23562.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (26539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363 + ... + 429.

2²⁶⁵³² is an apocalyptic number.

26532 is a gapful number since it is divisible by the number (22) 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 26532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37128).

26532 is an abundant number, since it is smaller than the sum of its proper divisors (47724).

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

26532 is a wasteful number, since it uses less digits than its factorization.

26532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 83 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 26532 is about 162.8864635260. The cubic root of 26532 is about 29.8256554284.

The spelling of 26532 in words is "twenty-six thousand, five hundred thirty-two".