27804920 has 64 divisors (see below), whose sum is σ = 73513440. Its totient is φ = 9331200.

The previous prime is 27804901. The next prime is 27804937. The reversal of 27804920 is 2940872.

It is a super-2 number, since 2×27804920² = 1546227152412800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3290 + ... + 8150.

Almost surely, 2^27804920 is an apocalyptic number.

27804920 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 27804920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36756720).

27804920 is an abundant number, since it is smaller than the sum of its proper divisors (45708520).

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

27804920 is a wasteful number, since it uses less digits than its factorization.

27804920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 27804920 is about 5273.0370755382. The cubic root of 27804920 is about 302.9520414098.

The spelling of 27804920 in words is "twenty-seven million, eight hundred four thousand, nine hundred twenty".