27986920 has 64 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 10216704.

The previous prime is 27986909. The next prime is 27986921. The reversal of 27986920 is 2968972.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27986921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55389 + ... + 55891.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^27986920 is an apocalyptic number.

27986920 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 27986920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

27986920 is an abundant number, since it is smaller than the sum of its proper divisors (40597400).

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

27986920 is a wasteful number, since it uses less digits than its factorization.

27986920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 27986920 is about 5290.2665339281. The cubic root of 27986920 is about 303.6116057946.

The spelling of 27986920 in words is "twenty-seven million, nine hundred eighty-six thousand, nine hundred twenty".