127440 has 80 divisors (see below), whose sum is σ = 446400. Its totient is φ = 33408.
The previous prime is 127423. The next prime is 127447. The reversal of 127440 is 44721.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (127447) by changing a digit.
127440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131 + ... + 2189.
It is an arithmetic number, because the mean of its divisors is an integer number (5580).
2127440 is an apocalyptic number.
127440 is a gapful number since it is divisible by the number (10) 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 127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).
127440 is an abundant number, since it is smaller than the sum of its proper divisors (318960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
127440 is a wasteful number, since it uses less digits than its factorization.
127440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 127440 is about 356.9873947354. The cubic root of 127440 is about 50.3232391592.
The spelling of 127440 in words is "one hundred twenty-seven thousand, four hundred forty", and thus it is an iban number.
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