26381880 has 288 divisors, whose sum is σ = 106984800. Its totient is φ = 5515776.

The previous prime is 26381869. The next prime is 26381881. The reversal of 26381880 is 8818362.

26381880 is a `hidden beast` number, since 2 + 638 + 18 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26381881) 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 71 ways as a sum of consecutive naturals, for example, 909706 + ... + 909734.

It is an arithmetic number, because the mean of its divisors is an integer number (371475).

Almost surely, 2^26381880 is an apocalyptic number.

26381880 is a gapful number since it is divisible by the number (20) 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 26381880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492400).

26381880 is an abundant number, since it is smaller than the sum of its proper divisors (80602920).

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

26381880 is a wasteful number, since it uses less digits than its factorization.

26381880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 26381880 is about 5136.3294286874. The cubic root of 26381880 is about 297.6929708660.

It can be divided in two parts, 26381 and 880, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 26381880 in words is "twenty-six million, three hundred eighty-one thousand, eight hundred eighty".