271321920 has 224 divisors, whose sum is σ = 989015040. Its totient is φ = 69949440.

The previous prime is 271321903. The next prime is 271321949. The reversal of 271321920 is 29123172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267334 + ... + 268346.

Almost surely, 2^271321920 is an apocalyptic number.

271321920 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 271321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494507520).

271321920 is an abundant number, since it is smaller than the sum of its proper divisors (717693120).

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

271321920 is a wasteful number, since it uses less digits than its factorization.

271321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 271321920 is about 16471.8523548507. The cubic root of 271321920 is about 647.3835014490.

The spelling of 271321920 in words is "two hundred seventy-one million, three hundred twenty-one thousand, nine hundred twenty".