26488 has 32 divisors (see below), whose sum is σ = 63360. Its totient is φ = 10080.

The previous prime is 26479. The next prime is 26489. The reversal of 26488 is 88462.

It is a super-2 number, since 2×26488² = 1403228288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26489) by changing a digit.

26488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 637.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2²⁶⁴⁸⁸ is an apocalyptic number.

26488 is a gapful number since it is divisible by the number (28) 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 26488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680).

26488 is an abundant number, since it is smaller than the sum of its proper divisors (36872).

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

26488 is a wasteful number, since it uses less digits than its factorization.

26488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 26488 is about 162.7513440805. The cubic root of 26488 is about 29.8091589342.

26488 divided by its sum of digits (28) gives a triangular number (946 = T₄₃).

It can be divided in two parts, 264 and 88, that multiplied together give a palindrome (23232).

The spelling of 26488 in words is "twenty-six thousand, four hundred eighty-eight".