26172320 has 48 divisors (see below), whose sum is σ = 63517608. Its totient is φ = 10183680.

The previous prime is 26172313. The next prime is 26172323. The reversal of 26172320 is 2327162.

It can be written as a sum of positive squares in 4 ways, for example, as 26091664 + 80656 = 5108^2 + 284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26172323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3710 + ... + 8130.

Almost surely, 2^26172320 is an apocalyptic number.

26172320 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 26172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31758804).

26172320 is an abundant number, since it is smaller than the sum of its proper divisors (37345288).

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

26172320 is a wasteful number, since it uses less digits than its factorization.

26172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 26172320 is about 5115.8889745576. Note that the first 3 decimals coincide. The cubic root of 26172320 is about 296.9026499824.

Adding to 26172320 its reverse (2327162), we get a palindrome (28499482).

The spelling of 26172320 in words is "twenty-six million, one hundred seventy-two thousand, three hundred twenty".