270368 has 48 divisors (see below), whose sum is σ = 653184. Its totient is φ = 107520.

The previous prime is 270343. The next prime is 270371. The reversal of 270368 is 863072.

It is a congruent number.

It is an unprimeable number.

270368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3773 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2²⁷⁰³⁶⁸ is an apocalyptic number.

270368 is a gapful number since it is divisible by the number (28) 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 270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592).

270368 is an abundant number, since it is smaller than the sum of its proper divisors (382816).

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

270368 is a wasteful number, since it uses less digits than its factorization.

270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 270368 is about 519.9692298588. The cubic root of 270368 is about 64.6623915172.

Subtracting 270368 from its reverse (863072), we obtain a cube (592704 = 84³).

The spelling of 270368 in words is "two hundred seventy thousand, three hundred sixty-eight".