26865280 has 64 divisors (see below), whose sum is σ = 69186600. Its totient is φ = 9916416.

The previous prime is 26865277. The next prime is 26865317. The reversal of 26865280 is 8256862.

It can be written as a sum of positive squares in 4 ways, for example, as 14077504 + 12787776 = 3752^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6706 + ... + 9934.

Almost surely, 2^26865280 is an apocalyptic number.

26865280 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 26865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34593300).

26865280 is an abundant number, since it is smaller than the sum of its proper divisors (42321320).

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

26865280 is a wasteful number, since it uses less digits than its factorization.

26865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 26865280 is about 5183.1727735047. The cubic root of 26865280 is about 299.5002048488.

The spelling of 26865280 in words is "twenty-six million, eight hundred sixty-five thousand, two hundred eighty".