26866080 has 144 divisors (see below), whose sum is σ = 95213664. Its totient is φ = 7153920.

The previous prime is 26866061. The next prime is 26866097. The reversal of 26866080 is 8066862.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38535 + ... + 39225.

It is an arithmetic number, because the mean of its divisors is an integer number (661206).

Almost surely, 2^26866080 is an apocalyptic number.

26866080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26866080 is the 2592-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47606832).

26866080 is an abundant number, since it is smaller than the sum of its proper divisors (68347584).

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

26866080 is an equidigital number, since it uses as much as digits as its factorization.

26866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 701 counting only the distinct ones).

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

The square root of 26866080 is about 5183.2499457387. The cubic root of 26866080 is about 299.5031776795.

The spelling of 26866080 in words is "twenty-six million, eight hundred sixty-six thousand, eighty".