26745768 has 192 divisors, whose sum is σ = 91440000. Its totient is φ = 7239456.

The previous prime is 26745767. The next prime is 26745769. The reversal of 26745768 is 86754762.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

26745768 is a `hidden beast` number, since 2 + 6 + 74 + 576 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (26745767) and next prime (26745769).

It is a super-2 number, since 2×26745768² = 1430672211819648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26745767) 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 47 ways as a sum of consecutive naturals, for example, 1407663 + ... + 1407681.

It is an arithmetic number, because the mean of its divisors is an integer number (476250).

Almost surely, 2^26745768 is an apocalyptic number.

26745768 is a gapful number since it is divisible by the number (28) 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 26745768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720000).

26745768 is an abundant number, since it is smaller than the sum of its proper divisors (64694232).

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

26745768 is a wasteful number, since it uses less digits than its factorization.

26745768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 31 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 26745768 is about 5171.6310773295. The cubic root of 26745768 is about 299.0554290739.

The spelling of 26745768 in words is "twenty-six million, seven hundred forty-five thousand, seven hundred sixty-eight".