26347680 has 240 divisors, whose sum is σ = 98794080. Its totient is φ = 6594048.

The previous prime is 26347679. The next prime is 26347681. The reversal of 26347680 is 8674362.

It is an interprime number because it is at equal distance from previous prime (26347679) and next prime (26347681).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (26347681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246187 + ... + 246293.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 2^26347680 is an apocalyptic number.

26347680 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 26347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49397040).

26347680 is an abundant number, since it is smaller than the sum of its proper divisors (72446400).

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

26347680 is a wasteful number, since it uses less digits than its factorization.

26347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 26347680 is about 5132.9991233196. Note that the first 3 decimals coincide. The cubic root of 26347680 is about 297.5642777102.

The spelling of 26347680 in words is "twenty-six million, three hundred forty-seven thousand, six hundred eighty".