26064 has 30 divisors (see below), whose sum is σ = 73346. Its totient is φ = 8640.

The previous prime is 26053. The next prime is 26083. The reversal of 26064 is 46062.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 11664 = 120^2 + 108^2 .

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

It is a congruent number.

It is an unprimeable number.

26064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54 + ... + 234.

2²⁶⁰⁶⁴ is an apocalyptic number.

26064 is a gapful number since it is divisible by the number (24) 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 26064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36673).

26064 is an abundant number, since it is smaller than the sum of its proper divisors (47282).

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

26064 is a wasteful number, since it uses less digits than its factorization.

26064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26064 is about 161.4434885649. The cubic root of 26064 is about 29.6492484266.

It can be divided in two parts, 260 and 64, that added together give a square (324 = 18²).

The spelling of 26064 in words is "twenty-six thousand, sixty-four".