27813120 has 72 divisors (see below), whose sum is σ = 88840416. Its totient is φ = 7415808.

The previous prime is 27813113. The next prime is 27813151. The reversal of 27813120 is 2131872.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 7461.

Almost surely, 2^27813120 is an apocalyptic number.

27813120 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 27813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44420208).

27813120 is an abundant number, since it is smaller than the sum of its proper divisors (61027296).

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

27813120 is an equidigital number, since it uses as much as digits as its factorization.

27813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7253 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 27813120 is about 5273.8145587421. The cubic root of 27813120 is about 302.9818198636.

Adding to 27813120 its reverse (2131872), we get a palindrome (29944992).

The spelling of 27813120 in words is "twenty-seven million, eight hundred thirteen thousand, one hundred twenty".