26561172 has 48 divisors (see below), whose sum is σ = 69801984. Its totient is φ = 7788000.

The previous prime is 26561137. The next prime is 26561173. The reversal of 26561172 is 27116562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26561173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847 + ... + 7337.

It is an arithmetic number, because the mean of its divisors is an integer number (1454208).

Almost surely, 2^26561172 is an apocalyptic number.

26561172 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 26561172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34900992).

26561172 is an abundant number, since it is smaller than the sum of its proper divisors (43240812).

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

26561172 is a wasteful number, since it uses less digits than its factorization.

26561172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6538 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 26561172 is about 5153.7531954877. The cubic root of 26561172 is about 298.3658255204.

It can be divided in two parts, 2656 and 1172, that added together give a triangular number (3828 = T₈₇).

The spelling of 26561172 in words is "twenty-six million, five hundred sixty-one thousand, one hundred seventy-two".