27630120 has 192 divisors, whose sum is σ = 99809280. Its totient is φ = 6096384.

The previous prime is 27630101. The next prime is 27630121. The reversal of 27630120 is 2103672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (27630121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 217497 + ... + 217623.

It is an arithmetic number, because the mean of its divisors is an integer number (519840).

Almost surely, 2^27630120 is an apocalyptic number.

27630120 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 27630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49904640).

27630120 is an abundant number, since it is smaller than the sum of its proper divisors (72179160).

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

27630120 is a wasteful number, since it uses less digits than its factorization.

27630120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 27630120 is about 5256.4360549711. The cubic root of 27630120 is about 302.3158545029.

Adding to 27630120 its reverse (2103672), we get a palindrome (29733792).

The spelling of 27630120 in words is "twenty-seven million, six hundred thirty thousand, one hundred twenty".