27124020 has 288 divisors, whose sum is σ = 109025280. Its totient is φ = 5287680.

The previous prime is 27124007. The next prime is 27124021. The reversal of 27124020 is 2042172.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27123984 and 27124002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27124021) 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 95 ways as a sum of consecutive naturals, for example, 263289 + ... + 263391.

It is an arithmetic number, because the mean of its divisors is an integer number (378560).

Almost surely, 2^27124020 is an apocalyptic number.

27124020 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 27124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54512640).

27124020 is an abundant number, since it is smaller than the sum of its proper divisors (81901260).

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

27124020 is a wasteful number, since it uses less digits than its factorization.

27124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 27124020 is about 5208.0725801394. The cubic root of 27124020 is about 300.4586318322.

Adding to 27124020 its reverse (2042172), we get a palindrome (29166192).

The spelling of 27124020 in words is "twenty-seven million, one hundred twenty-four thousand, twenty".