26191872 has 216 divisors, whose sum is σ = 91031850. Its totient is φ = 7225344.

The previous prime is 26191853. The next prime is 26191873. The reversal of 26191872 is 27819162.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 4064256 = 4704^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26191873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 903154 + ... + 903182.

Almost surely, 2^26191872 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 26191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45515925).

26191872 is an abundant number, since it is smaller than the sum of its proper divisors (64839978).

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

26191872 is a wasteful number, since it uses less digits than its factorization.

26191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 26191872 is about 5117.7995271405. The cubic root of 26191872 is about 296.9765651679.

The spelling of 26191872 in words is "twenty-six million, one hundred ninety-one thousand, eight hundred seventy-two".