270138960 has 720 divisors, whose sum is σ = 1234920960. Its totient is φ = 52254720.

The previous prime is 270138949. The next prime is 270139073. The reversal of 270138960 is 69831072.

270138960 is a `hidden beast` number, since 270 + 1 + 389 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8714145 + ... + 8714175.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^270138960 is an apocalyptic number.

270138960 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 270138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

270138960 is an abundant number, since it is smaller than the sum of its proper divisors (964782000).

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

270138960 is a wasteful number, since it uses less digits than its factorization.

270138960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 270138960 is about 16435.9045993824. The cubic root of 270138960 is about 646.4412695647.

The spelling of 270138960 in words is "two hundred seventy million, one hundred thirty-eight thousand, nine hundred sixty".