27226080 has 288 divisors, whose sum is σ = 110545344. Its totient is φ = 5971968.

The previous prime is 27226063. The next prime is 27226097. The reversal of 27226080 is 8062272.

It is an interprime number because it is at equal distance from previous prime (27226063) and next prime (27226097).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372924 + ... + 372996.

It is an arithmetic number, because the mean of its divisors is an integer number (383838).

Almost surely, 2^27226080 is an apocalyptic number.

27226080 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 27226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55272672).

27226080 is an abundant number, since it is smaller than the sum of its proper divisors (83319264).

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

27226080 is a wasteful number, since it uses less digits than its factorization.

27226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27226080 is about 5217.8616309749. The cubic root of 27226080 is about 300.8350070544.

The spelling of 27226080 in words is "twenty-seven million, two hundred twenty-six thousand, eighty".