26787840 has 120 divisors (see below), whose sum is σ = 86504880. Its totient is φ = 7077888.

The previous prime is 26787833. The next prime is 26787841. The reversal of 26787840 is 4878762.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26787792 and 26787801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26787841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245706 + ... + 245814.

It is an arithmetic number, because the mean of its divisors is an integer number (720874).

Almost surely, 2^26787840 is an apocalyptic number.

26787840 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 26787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43252440).

26787840 is an abundant number, since it is smaller than the sum of its proper divisors (59717040).

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

26787840 is an equidigital number, since it uses as much as digits as its factorization.

26787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 26787840 is about 5175.6970545039. The cubic root of 26787840 is about 299.2121550344.

The spelling of 26787840 in words is "twenty-six million, seven hundred eighty-seven thousand, eight hundred forty".