26352 has 40 divisors (see below), whose sum is σ = 76880. Its totient is φ = 8640.

The previous prime is 26347. The next prime is 26357. The reversal of 26352 is 25362.

26352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (26347) and next prime (26357).

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

It is a d-powerful number, because it can be written as 2⁶ + 6 + 3⁸ + 5⁶ + 2¹² .

It is a nialpdrome in base 6 and base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26357) by changing a digit.

26352 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, 402 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (1922).

2²⁶³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38440).

26352 is an abundant number, since it is smaller than the sum of its proper divisors (50528).

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

26352 is a wasteful number, since it uses less digits than its factorization.

26352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

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

The square root of 26352 is about 162.3329911016. The cubic root of 26352 is about 29.7580539831.

Subtracting from 26352 its reverse (25362), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 26 and 352, that added together give a triangular number (378 = T₂₇).

The spelling of 26352 in words is "twenty-six thousand, three hundred fifty-two".