26368938 has 72 divisors (see below), whose sum is σ = 62786412. Its totient is φ = 7990272.

The previous prime is 26368919. The next prime is 26368939. The reversal of 26368938 is 83986362.

26368938 is a `hidden beast` number, since 2 + 636 + 8 + 9 + 3 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25130169 + 1238769 = 5013^2 + 1113^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (373248) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 26368893 and 26368902.

It is not an unprimeable number, because it can be changed into a prime (26368939) 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 35 ways as a sum of consecutive naturals, for example, 192406 + ... + 192542.

Almost surely, 2^26368938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26368938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31393206).

26368938 is an abundant number, since it is smaller than the sum of its proper divisors (36417474).

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

26368938 is a wasteful number, since it uses less digits than its factorization.

26368938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 26368938 is about 5135.0694250419. The cubic root of 26368938 is about 297.6442837544.

The spelling of 26368938 in words is "twenty-six million, three hundred sixty-eight thousand, nine hundred thirty-eight".