27420120 has 384 divisors, whose sum is σ = 117411840. Its totient is φ = 5598720.

The previous prime is 27420079. The next prime is 27420121. The reversal of 27420120 is 2102472.

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 = 27420093 and 27420102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27420121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884505 + ... + 884535.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^27420120 is an apocalyptic number.

27420120 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 27420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58705920).

27420120 is an abundant number, since it is smaller than the sum of its proper divisors (89991720).

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

27420120 is a wasteful number, since it uses less digits than its factorization.

27420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

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

The square root of 27420120 is about 5236.4224428516. The cubic root of 27420120 is about 301.5479985957.

Adding to 27420120 its reverse (2102472), we get a palindrome (29522592).

The spelling of 27420120 in words is "twenty-seven million, four hundred twenty thousand, one hundred twenty".