271678680 has 192 divisors, whose sum is σ = 1086845760. Its totient is φ = 57314304.

The previous prime is 271678661. The next prime is 271678721. The reversal of 271678680 is 86876172.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 28614 + ... + 36906.

It is an arithmetic number, because the mean of its divisors is an integer number (5660655).

Almost surely, 2^271678680 is an apocalyptic number.

271678680 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 271678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543422880).

271678680 is an abundant number, since it is smaller than the sum of its proper divisors (815167080).

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

271678680 is a wasteful number, since it uses less digits than its factorization.

271678680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 271678680 is about 16482.6781804414. The cubic root of 271678680 is about 647.6671244139.

The spelling of 271678680 in words is "two hundred seventy-one million, six hundred seventy-eight thousand, six hundred eighty".