26432 has 28 divisors (see below), whose sum is σ = 60960. Its totient is φ = 11136.

The previous prime is 26431. The next prime is 26437. The reversal of 26432 is 23462.

It is a tau number, because it is divible by the number of its divisors (28).

It is a plaindrome in base 12.

It is a self number, because there is not a number *n* which added to its sum of digits gives 26432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 477.

2^{26432} 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 26432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30480).

26432 is an abundant number, since it is smaller than the sum of its proper divisors (34528).

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

26432 is an equidigital number, since it uses as much as digits as its factorization.

26432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 26432 is about 162.5792114632. The cubic root of 26432 is about 29.7881369534.

Adding to 26432 its reverse (23462), we get a palindrome (49894).

It can be divided in two parts, 264 and 32, that multiplied together give a palindrome (8448).

The spelling of 26432 in words is "twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1652 1888 3304 3776 6608 13216 26432

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