27406080 has 288 divisors, whose sum is σ = 106451520. Its totient is φ = 6635520.

The previous prime is 27406079. The next prime is 27406109. The reversal of 27406080 is 8060472.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449250 + ... + 449310.

Almost surely, 2^27406080 is an apocalyptic number.

27406080 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 27406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53225760).

27406080 is an abundant number, since it is smaller than the sum of its proper divisors (79045440).

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

27406080 is a wasteful number, since it uses less digits than its factorization.

27406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

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

The square root of 27406080 is about 5235.0816612542. The cubic root of 27406080 is about 301.4965223232.

The spelling of 27406080 in words is "twenty-seven million, four hundred six thousand, eighty".