26168040 has 48 divisors (see below), whose sum is σ = 85047300. Its totient is φ = 6978048.

The previous prime is 26168017. The next prime is 26168041. The reversal of 26168040 is 4086162.

26168040 is a `hidden beast` number, since 2 + 616 + 8 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23677956 + 2490084 = 4866^2 + 1578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26167995 and 26168013.

It is not an unprimeable number, because it can be changed into a prime (26168041) 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 11 ways as a sum of consecutive naturals, for example, 35985 + ... + 36704.

Almost surely, 2^26168040 is an apocalyptic number.

26168040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26168040 is an abundant number, since it is smaller than the sum of its proper divisors (58879260).

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

26168040 is a wasteful number, since it uses less digits than its factorization.

26168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72706 (or 72699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26168040 is about 5115.4706528334. The cubic root of 26168040 is about 296.8864647835.

The spelling of 26168040 in words is "twenty-six million, one hundred sixty-eight thousand, forty".