270315144 has 96 divisors (see below), whose sum is σ = 828303840. Its totient is φ = 81907200.

The previous prime is 270315127. The next prime is 270315151. The reversal of 270315144 is 441513072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15064 + ... + 27704.

It is an arithmetic number, because the mean of its divisors is an integer number (8628165).

Almost surely, 2^270315144 is an apocalyptic number.

270315144 is a gapful number since it is divisible by the number (24) 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 270315144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414151920).

270315144 is an abundant number, since it is smaller than the sum of its proper divisors (557988696).

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

270315144 is a wasteful number, since it uses less digits than its factorization.

270315144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 270315144 is about 16441.2634550998. The cubic root of 270315144 is about 646.5817748531.

The spelling of 270315144 in words is "two hundred seventy million, three hundred fifteen thousand, one hundred forty-four".