26083872 has 108 divisors (see below), whose sum is σ = 77636286. Its totient is φ = 8302080.

The previous prime is 26083867. The next prime is 26083873. The reversal of 26083872 is 27838062.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 25765776 + 318096 = 5076^2 + 564^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26083873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 554953 + ... + 554999.

Almost surely, 2^26083872 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 26083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38818143).

26083872 is an abundant number, since it is smaller than the sum of its proper divisors (51552414).

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

26083872 is a wasteful number, since it uses less digits than its factorization.

26083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 26083872 is about 5107.2372179095. The cubic root of 26083872 is about 296.5678168051.

The spelling of 26083872 in words is "twenty-six million, eighty-three thousand, eight hundred seventy-two".