271640 has 16 divisors (see below), whose sum is σ = 611280. Its totient is φ = 108640.

The previous prime is 271639. The next prime is 271651. The reversal of 271640 is 46172.

271640 = 14² + 15² + ... + 93².

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

It is a d-powerful number, because it can be written as 2¹³ + 7 + 6⁴ + 1 + 4⁹ + 0 .

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3356 + ... + 3435.

It is an arithmetic number, because the mean of its divisors is an integer number (38205).

2²⁷¹⁶⁴⁰ is an apocalyptic number.

271640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271640 is an abundant number, since it is smaller than the sum of its proper divisors (339640).

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

271640 is a wasteful number, since it uses less digits than its factorization.

271640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802 (or 6798 counting only the distinct ones).

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

The square root of 271640 is about 521.1909438968. The cubic root of 271640 is about 64.7636385953.

The spelling of 271640 in words is "two hundred seventy-one thousand, six hundred forty".