26405856 has 72 divisors (see below), whose sum is σ = 75590424. Its totient is φ = 8743680.

The previous prime is 26405849. The next prime is 26405857. The reversal of 26405856 is 65850462.

26405856 is a `hidden beast` number, since 2 + 640 + 5 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26405856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26405857) 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, 79611 + ... + 79941.

It is an arithmetic number, because the mean of its divisors is an integer number (1049867).

Almost surely, 2^26405856 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 26405856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795212).

26405856 is an abundant number, since it is smaller than the sum of its proper divisors (49184568).

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

26405856 is a wasteful number, since it uses less digits than its factorization.

26405856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 26405856 is about 5138.6628610953. The cubic root of 26405856 is about 297.7831252392.

It can be divided in two parts, 26405 and 856, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 26405856 in words is "twenty-six million, four hundred five thousand, eight hundred fifty-six".