270142080 has 256 divisors, whose sum is σ = 945907200. Its totient is φ = 65175552.

The previous prime is 270142073. The next prime is 270142097. The reversal of 270142080 is 80241072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 270142080.

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 31 ways as a sum of consecutive naturals, for example, 1971772 + ... + 1971908.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 2^270142080 is an apocalyptic number.

270142080 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 270142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472953600).

270142080 is an abundant number, since it is smaller than the sum of its proper divisors (675765120).

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

270142080 is a wasteful number, since it uses less digits than its factorization.

270142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 270142080 is about 16435.9995132636. Note that the first 3 decimals coincide. The cubic root of 270142080 is about 646.4437582703.

The spelling of 270142080 in words is "two hundred seventy million, one hundred forty-two thousand, eighty".