26066880 has 224 divisors, whose sum is σ = 105338880. Its totient is φ = 5944320.

The previous prime is 26066861. The next prime is 26066881. The reversal of 26066880 is 8866062.

It is a tau number, because it is divible by the number of its divisors (224).

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 (26066881) 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, 60265 + ... + 60695.

Almost surely, 2^26066880 is an apocalyptic number.

26066880 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 26066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

26066880 is an abundant number, since it is smaller than the sum of its proper divisors (79272000).

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

26066880 is a wasteful number, since it uses less digits than its factorization.

26066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 26066880 is about 5105.5734251894. The cubic root of 26066880 is about 296.5034043973.

The spelling of 26066880 in words is "twenty-six million, sixty-six thousand, eight hundred eighty".