27806240 has 192 divisors, whose sum is σ = 85494528. Its totient is φ = 8294400.

The previous prime is 27806171. The next prime is 27806243. The reversal of 27806240 is 4260872.

27806240 = 281² + 282² + ... + 472².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27806243) 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, 455810 + ... + 455870.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^27806240 is an apocalyptic number.

27806240 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 27806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

27806240 is an abundant number, since it is smaller than the sum of its proper divisors (57688288).

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

27806240 is a wasteful number, since it uses less digits than its factorization.

27806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 27806240 is about 5273.1622391123. The cubic root of 27806240 is about 302.9568354099.

The spelling of 27806240 in words is "twenty-seven million, eight hundred six thousand, two hundred forty".