26432000 has 160 divisors (see below), whose sum is σ = 76602240. Its totient is φ = 8908800.

The previous prime is 26431987. The next prime is 26432009. The reversal of 26432000 is 23462.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 26432000.

It is not an unprimeable number, because it can be changed into a prime (26432009) 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, 447971 + ... + 448029.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^26432000 is an apocalyptic number.

26432000 is a gapful number since it is divisible by the number (20) 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 26432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

26432000 is an abundant number, since it is smaller than the sum of its proper divisors (50170240).

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

26432000 is an frugal number, since it uses more digits than its factorization.

26432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

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

The square root of 26432000 is about 5141.2060841791. The cubic root of 26432000 is about 297.8813695338.

Adding to 26432000 its reverse (23462), we get a palindrome (26455462).

The spelling of 26432000 in words is "twenty-six million, four hundred thirty-two thousand".