271640000 has 70 divisors (see below), whose sum is σ = 673678104. Its totient is φ = 108640000.

The previous prime is 271639997. The next prime is 271640003. The reversal of 271640000 is 46172.

It is an interprime number because it is at equal distance from previous prime (271639997) and next prime (271640003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271640003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36605 + ... + 43395.

Almost surely, 2^271640000 is an apocalyptic number.

271640000 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 271640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336839052).

271640000 is an abundant number, since it is smaller than the sum of its proper divisors (402038104).

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

271640000 is an frugal number, since it uses more digits than its factorization.

271640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 271640000 is about 16481.5047856681. The cubic root of 271640000 is about 647.6363859531.

Adding to 271640000 its reverse (46172), we get a palindrome (271686172).

The spelling of 271640000 in words is "two hundred seventy-one million, six hundred forty thousand".