271264720 has 20 divisors (see below), whose sum is σ = 630690660. Its totient is φ = 108505856.

The previous prime is 271264687. The next prime is 271264739. The reversal of 271264720 is 27462172.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 169416256 = 10092^2 + 13016^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1695325 + ... + 1695484.

It is an arithmetic number, because the mean of its divisors is an integer number (31534533).

Almost surely, 2^271264720 is an apocalyptic number.

271264720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271264720 is an abundant number, since it is smaller than the sum of its proper divisors (359425940).

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

271264720 is a wasteful number, since it uses less digits than its factorization.

271264720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390822 (or 3390816 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 271264720 is about 16470.1159680192. The cubic root of 271264720 is about 647.3380045244.

The spelling of 271264720 in words is "two hundred seventy-one million, two hundred sixty-four thousand, seven hundred twenty".