271680336 has 120 divisors (see below), whose sum is σ = 781662024. Its totient is φ = 88058880.

The previous prime is 271680329. The next prime is 271680337. The reversal of 271680336 is 633086172.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 247118400 = 4956^2 + 15720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 271680336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271680337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378990 + ... + 1379186.

Almost surely, 2^271680336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271680336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390831012).

271680336 is an abundant number, since it is smaller than the sum of its proper divisors (509981688).

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

271680336 is a wasteful number, since it uses less digits than its factorization.

271680336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 271680336 is about 16482.7284149197. The cubic root of 271680336 is about 647.6684403491.

The spelling of 271680336 in words is "two hundred seventy-one million, six hundred eighty thousand, three hundred thirty-six".