127471680 has 168 divisors, whose sum is σ = 501164352. Its totient is φ = 29131776.

The previous prime is 127471679. The next prime is 127471693. The reversal of 127471680 is 86174721.

127471680 is a `hidden beast` number, since 127 + 471 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16999 + ... + 23321.

Almost surely, 2^127471680 is an apocalyptic number.

127471680 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 127471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250582176).

127471680 is an abundant number, since it is smaller than the sum of its proper divisors (373692672).

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

127471680 is a wasteful number, since it uses less digits than its factorization.

127471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 127471680 is about 11290.3356903150. The cubic root of 127471680 is about 503.2740872427.

The spelling of 127471680 in words is "one hundred twenty-seven million, four hundred seventy-one thousand, six hundred eighty".