270082120 has 96 divisors (see below), whose sum is σ = 771223680. Its totient is φ = 84174720.

The previous prime is 270082063. The next prime is 270082147. The reversal of 270082120 is 21280072.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 270082091 and 270082100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15297 + ... + 27823.

It is an arithmetic number, because the mean of its divisors is an integer number (8033580).

Almost surely, 2^270082120 is an apocalyptic number.

270082120 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 270082120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385611840).

270082120 is an abundant number, since it is smaller than the sum of its proper divisors (501141560).

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

270082120 is a wasteful number, since it uses less digits than its factorization.

270082120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563 (or 12552 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 270082120 is about 16434.1753672036. The cubic root of 270082120 is about 646.3959270995.

The spelling of 270082120 in words is "two hundred seventy million, eighty-two thousand, one hundred twenty".