271320192 has 384 divisors, whose sum is σ = 966813120. Its totient is φ = 74649600.

The previous prime is 271320191. The next prime is 271320193. The reversal of 271320192 is 291023172.

It is an interprime number because it is at equal distance from previous prime (271320191) and next prime (271320193).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×271320192² = 147229293173833728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271320191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447842 + ... + 4447902.

Almost surely, 2^271320192 is an apocalyptic number.

271320192 is a gapful number since it is divisible by the number (22) 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 271320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483406560).

271320192 is an abundant number, since it is smaller than the sum of its proper divisors (695492928).

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

271320192 is a wasteful number, since it uses less digits than its factorization.

271320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

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

The square root of 271320192 is about 16471.7999016501. The cubic root of 271320192 is about 647.3821270901.

The spelling of 271320192 in words is "two hundred seventy-one million, three hundred twenty thousand, one hundred ninety-two".