26426880 has 240 divisors, whose sum is σ = 97029504. Its totient is φ = 6635520.

The previous prime is 26426879. The next prime is 26426887. The reversal of 26426880 is 8862462.

26426880 is a `hidden beast` number, since 2 + 642 + 6 + 8 + 8 + 0 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26426887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714222 + ... + 714258.

Almost surely, 2^26426880 is an apocalyptic number.

26426880 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 26426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48514752).

26426880 is an abundant number, since it is smaller than the sum of its proper divisors (70602624).

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

26426880 is a wasteful number, since it uses less digits than its factorization.

26426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26426880 is about 5140.7081224283. The cubic root of 26426880 is about 297.8621346279.

The spelling of 26426880 in words is "twenty-six million, four hundred twenty-six thousand, eight hundred eighty".