26307840 has 288 divisors, whose sum is σ = 98896896. Its totient is φ = 5898240.

The previous prime is 26307833. The next prime is 26307847. The reversal of 26307840 is 4870362.

It is an interprime number because it is at equal distance from previous prime (26307833) and next prime (26307847).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26307798 and 26307807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26307847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848625 + ... + 848655.

It is an arithmetic number, because the mean of its divisors is an integer number (343392).

Almost surely, 2^26307840 is an apocalyptic number.

26307840 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 26307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49448448).

26307840 is an abundant number, since it is smaller than the sum of its proper divisors (72589056).

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

26307840 is a wasteful number, since it uses less digits than its factorization.

26307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 26307840 is about 5129.1168830511. The cubic root of 26307840 is about 297.4142209677.

The spelling of 26307840 in words is "twenty-six million, three hundred seven thousand, eight hundred forty".