27663920 has 40 divisors (see below), whose sum is σ = 65419920. Its totient is φ = 10876160.

The previous prime is 27663907. The next prime is 27663931. The reversal of 27663920 is 2936672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 1790 + ... + 7650.

It is an arithmetic number, because the mean of its divisors is an integer number (1635498).

Almost surely, 2^27663920 is an apocalyptic number.

27663920 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 27663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32709960).

27663920 is an abundant number, since it is smaller than the sum of its proper divisors (37756000).

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

27663920 is a wasteful number, since it uses less digits than its factorization.

27663920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 27663920 is about 5259.6501784815. The cubic root of 27663920 is about 302.4390788685.

The spelling of 27663920 in words is "twenty-seven million, six hundred sixty-three thousand, nine hundred twenty".