270152720 has 40 divisors (see below), whose sum is σ = 629792280. Its totient is φ = 107770880.

The previous prime is 270152699. The next prime is 270152747. The reversal of 270152720 is 27251072.

270152720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33362176 + 236790544 = 5776^2 + 15388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 270152720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26780 + ... + 35460.

It is an arithmetic number, because the mean of its divisors is an integer number (15744807).

Almost surely, 2^270152720 is an apocalyptic number.

270152720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270152720 is an abundant number, since it is smaller than the sum of its proper divisors (359639560).

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

270152720 is a wasteful number, since it uses less digits than its factorization.

270152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 270152720 is about 16436.3231898135. The cubic root of 270152720 is about 646.4522452503.

The spelling of 270152720 in words is "two hundred seventy million, one hundred fifty-two thousand, seven hundred twenty".