1671271056 has 400 divisors, whose sum is σ = 6130274304. Its totient is φ = 427742208.

The previous prime is 1671271051. The next prime is 1671271061. The reversal of 1671271056 is 6501721761.

It is an interprime number because it is at equal distance from previous prime (1671271051) and next prime (1671271061).

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 1671271056.

It is not an unprimeable number, because it can be changed into a prime (1671271051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4363441 + ... + 4363823.

Almost surely, 2^1671271056 is an apocalyptic number.

1671271056 is a gapful number since it is divisible by the number (16) 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 1671271056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065137152).

1671271056 is an abundant number, since it is smaller than the sum of its proper divisors (4459003248).

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

1671271056 is a wasteful number, since it uses less digits than its factorization.

1671271056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1671271056 is about 40881.1821746877. The cubic root of 1671271056 is about 1186.7219190422.

The spelling of 1671271056 in words is "one billion, six hundred seventy-one million, two hundred seventy-one thousand, fifty-six".