127668096 has 256 divisors, whose sum is σ = 416404800. Its totient is φ = 38338560.

The previous prime is 127668089. The next prime is 127668109. The reversal of 127668096 is 690866721.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408806 + ... + 2408858.

Almost surely, 2^127668096 is an apocalyptic number.

127668096 is a gapful number since it is divisible by the number (16) 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 127668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208202400).

127668096 is an abundant number, since it is smaller than the sum of its proper divisors (288736704).

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

127668096 is a wasteful number, since it uses less digits than its factorization.

127668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 127668096 is about 11299.0307548922. The cubic root of 127668096 is about 503.5324462096.

The spelling of 127668096 in words is "one hundred twenty-seven million, six hundred sixty-eight thousand, ninety-six".