27984120 has 32 divisors (see below), whose sum is σ = 83952720. Its totient is φ = 7462400.

The previous prime is 27984097. The next prime is 27984127. The reversal of 27984120 is 2148972.

It is a happy number.

It is a super-2 number, since 2×27984120² = 1566221944348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27984127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116481 + ... + 116720.

Almost surely, 2^27984120 is an apocalyptic number.

27984120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27984120 is an abundant number, since it is smaller than the sum of its proper divisors (55968600).

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

27984120 is a wasteful number, since it uses less digits than its factorization.

27984120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233215 (or 233211 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 27984120 is about 5290.0018903588. The cubic root of 27984120 is about 303.6014803402.

The spelling of 27984120 in words is "twenty-seven million, nine hundred eighty-four thousand, one hundred twenty".