26205432 has 64 divisors (see below), whose sum is σ = 75686400. Its totient is φ = 7472640.

The previous prime is 26205409. The next prime is 26205433. The reversal of 26205432 is 23450262.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26205433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569 + ... + 7407.

It is an arithmetic number, because the mean of its divisors is an integer number (1182600).

Almost surely, 2^26205432 is an apocalyptic number.

26205432 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 26205432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37843200).

26205432 is an abundant number, since it is smaller than the sum of its proper divisors (49480968).

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

26205432 is a wasteful number, since it uses less digits than its factorization.

26205432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 26205432 is about 5119.1241438355. The cubic root of 26205432 is about 297.0278063503.

Adding to 26205432 its reverse (23450262), we get a palindrome (49655694).

The spelling of 26205432 in words is "twenty-six million, two hundred five thousand, four hundred thirty-two".