127709340 has 192 divisors, whose sum is σ = 418037760. Its totient is φ = 28821760.

The previous prime is 127709299. The next prime is 127709341. The reversal of 127709340 is 43907721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127709341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713371 + ... + 713549.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^127709340 is an apocalyptic number.

127709340 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 127709340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

127709340 is an abundant number, since it is smaller than the sum of its proper divisors (290328420).

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

127709340 is a wasteful number, since it uses less digits than its factorization.

127709340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 127709340 is about 11300.8557198117. The cubic root of 127709340 is about 503.5866635040.

The spelling of 127709340 in words is "one hundred twenty-seven million, seven hundred nine thousand, three hundred forty".