270420120 has 192 divisors, whose sum is σ = 934053120. Its totient is φ = 70326144.

The previous prime is 270420109. The next prime is 270420169. The reversal of 270420120 is 21024072.

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 = 270420093 and 270420102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417637 + ... + 418283.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^270420120 is an apocalyptic number.

270420120 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 270420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467026560).

270420120 is an abundant number, since it is smaller than the sum of its proper divisors (663633000).

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

270420120 is a wasteful number, since it uses less digits than its factorization.

270420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

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

The square root of 270420120 is about 16444.4556005968. The cubic root of 270420120 is about 646.6654633248.

Adding to 270420120 its reverse (21024072), we get a palindrome (291444192).

The spelling of 270420120 in words is "two hundred seventy million, four hundred twenty thousand, one hundred twenty".