27793920 has 320 divisors, whose sum is σ = 113135616. Its totient is φ = 5652480.

The previous prime is 27793907. The next prime is 27793921. The reversal of 27793920 is 2939772.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27793921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591337 + ... + 591383.

Almost surely, 2^27793920 is an apocalyptic number.

27793920 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 27793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567808).

27793920 is an abundant number, since it is smaller than the sum of its proper divisors (85341696).

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

27793920 is a wasteful number, since it uses less digits than its factorization.

27793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 27793920 is about 5271.9939301938. The cubic root of 27793920 is about 302.9120855074.

The spelling of 27793920 in words is "twenty-seven million, seven hundred ninety-three thousand, nine hundred twenty".