127714920 has 64 divisors (see below), whose sum is σ = 385499520. Its totient is φ = 33848064.

The previous prime is 127714843. The next prime is 127714943. The reversal of 127714920 is 29417721.

It is a super-2 number, since 2×127714920² = 32622201581212800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16854 + ... + 23226.

It is an arithmetic number, because the mean of its divisors is an integer number (6023430).

Almost surely, 2^127714920 is an apocalyptic number.

127714920 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 127714920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192749760).

127714920 is an abundant number, since it is smaller than the sum of its proper divisors (257784600).

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

127714920 is a wasteful number, since it uses less digits than its factorization.

127714920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 127714920 is about 11301.1026010739. The cubic root of 127714920 is about 503.5939977957.

The spelling of 127714920 in words is "one hundred twenty-seven million, seven hundred fourteen thousand, nine hundred twenty".