271797120 has 480 divisors, whose sum is σ = 1139660280. Its totient is φ = 61544448.

The previous prime is 271797103. The next prime is 271797137. The reversal of 271797120 is 21797172.

It is an interprime number because it is at equal distance from previous prime (271797103) and next prime (271797137).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540107 + ... + 2540213.

Almost surely, 2^271797120 is an apocalyptic number.

271797120 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 271797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569830140).

271797120 is an abundant number, since it is smaller than the sum of its proper divisors (867863160).

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

271797120 is a wasteful number, since it uses less digits than its factorization.

271797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 271797120 is about 16486.2706516665. The cubic root of 271797120 is about 647.7612289023.

The spelling of 271797120 in words is "two hundred seventy-one million, seven hundred ninety-seven thousand, one hundred twenty".