127317420 has 288 divisors, whose sum is σ = 449100288. Its totient is φ = 30108672.

The previous prime is 127317419. The next prime is 127317473. The reversal of 127317420 is 24713721.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900227 + ... + 1900293.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^127317420 is an apocalyptic number.

127317420 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 127317420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144).

127317420 is an abundant number, since it is smaller than the sum of its proper divisors (321782868).

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

127317420 is a wasteful number, since it uses less digits than its factorization.

127317420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 127317420 is about 11283.5021159213. The cubic root of 127317420 is about 503.0709927240.

The spelling of 127317420 in words is "one hundred twenty-seven million, three hundred seventeen thousand, four hundred twenty".