26788860 has 192 divisors, whose sum is σ = 100531200. Its totient is φ = 5785344.

The previous prime is 26788849. The next prime is 26788873. The reversal of 26788860 is 6888762.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71634 + ... + 72006.

It is an arithmetic number, because the mean of its divisors is an integer number (523600).

Almost surely, 2^26788860 is an apocalyptic number.

26788860 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 26788860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50265600).

26788860 is an abundant number, since it is smaller than the sum of its proper divisors (73742340).

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

26788860 is a wasteful number, since it uses less digits than its factorization.

26788860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 26788860 is about 5175.7955910179. The cubic root of 26788860 is about 299.2159526845.

The spelling of 26788860 in words is "twenty-six million, seven hundred eighty-eight thousand, eight hundred sixty".