127348320 has 192 divisors, whose sum is σ = 444165120. Its totient is φ = 30412800.

The previous prime is 127348313. The next prime is 127348321. The reversal of 127348320 is 23843721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127348321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469785 + ... + 470055.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2^127348320 is an apocalyptic number.

127348320 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 127348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

127348320 is an abundant number, since it is smaller than the sum of its proper divisors (316816800).

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

127348320 is a wasteful number, since it uses less digits than its factorization.

127348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 127348320 is about 11284.8712885881. The cubic root of 127348320 is about 503.1116879571. Note that the first 3 decimals are identical.

The spelling of 127348320 in words is "one hundred twenty-seven million, three hundred forty-eight thousand, three hundred twenty".