271672128 has 336 divisors, whose sum is σ = 985211136. Its totient is φ = 69672960.

The previous prime is 271672111. The next prime is 271672139. The reversal of 271672128 is 821276172.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 271672092 and 271672101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3721500 + ... + 3721572.

It is an arithmetic number, because the mean of its divisors is an integer number (2932176).

Almost surely, 2^271672128 is an apocalyptic number.

271672128 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 271672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492605568).

271672128 is an abundant number, since it is smaller than the sum of its proper divisors (713539008).

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

271672128 is a wasteful number, since it uses less digits than its factorization.

271672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 271672128 is about 16482.4794251350. The cubic root of 271672128 is about 647.6619178354.

The spelling of 271672128 in words is "two hundred seventy-one million, six hundred seventy-two thousand, one hundred twenty-eight".