26401320 has 192 divisors, whose sum is σ = 96033600. Its totient is φ = 6236160.

The previous prime is 26401303. The next prime is 26401337. The reversal of 26401320 is 2310462.

It is a happy number.

26401320 is a `hidden beast` number, since 2 + 640 + 1 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (26401303) and next prime (26401337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26401293 and 26401302.

It is an unprimeable number.

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, 233584 + ... + 233696.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 2^26401320 is an apocalyptic number.

26401320 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 26401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48016800).

26401320 is an abundant number, since it is smaller than the sum of its proper divisors (69632280).

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

26401320 is a wasteful number, since it uses less digits than its factorization.

26401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26401320 is about 5138.2214821862. The cubic root of 26401320 is about 297.7660731932.

Adding to 26401320 its reverse (2310462), we get a palindrome (28711782).

The spelling of 26401320 in words is "twenty-six million, four hundred one thousand, three hundred twenty".