127471968 has 216 divisors, whose sum is σ = 411262488. Its totient is φ = 38817792.

The previous prime is 127471961. The next prime is 127471979. The reversal of 127471968 is 869174721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127471961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314096 + ... + 1314192.

It is an arithmetic number, because the mean of its divisors is an integer number (1903993).

Almost surely, 2^127471968 is an apocalyptic number.

127471968 is a gapful number since it is divisible by the number (18) 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 127471968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205631244).

127471968 is an abundant number, since it is smaller than the sum of its proper divisors (283790520).

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

127471968 is an equidigital number, since it uses as much as digits as its factorization.

127471968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 127471968 is about 11290.3484445787. The cubic root of 127471968 is about 503.2744662624.

The spelling of 127471968 in words is "one hundred twenty-seven million, four hundred seventy-one thousand, nine hundred sixty-eight".