270906 has 16 divisors (see below), whose sum is σ = 547104. Its totient is φ = 89424.

The previous prime is 270899. The next prime is 270913. The reversal of 270906 is 609072.

It is an interprime number because it is at equal distance from previous prime (270899) and next prime (270913).

It is an unprimeable number.

270906 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (34194).

2²⁷⁰⁹⁰⁶ is an apocalyptic number.

270906 is an abundant number, since it is smaller than the sum of its proper divisors (276198).

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

270906 is a wasteful number, since it uses less digits than its factorization.

270906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 270906 is about 520.4863110592. The cubic root of 270906 is about 64.7052532430.

Adding to 270906 its reverse (609072), we get a palindrome (879978).

It can be divided in two parts, 270 and 906, that added together give a triangular number (1176 = T₄₈).

The spelling of 270906 in words is "two hundred seventy thousand, nine hundred six".