127685376 has 432 divisors, whose sum is σ = 489333600. Its totient is φ = 32514048.

The previous prime is 127685359. The next prime is 127685399. The reversal of 127685376 is 673586721.

127685376 is a `hidden beast` number, since 1 + 276 + 8 + 5 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×127685376² = 32607110488522752, which contains 22 as substring.

Its product of digits (423360) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4402930 + ... + 4402958.

Almost surely, 2^127685376 is an apocalyptic number.

127685376 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 127685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244666800).

127685376 is an abundant number, since it is smaller than the sum of its proper divisors (361648224).

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

127685376 is a wasteful number, since it uses less digits than its factorization.

127685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 127685376 is about 11299.7953963778. The cubic root of 127685376 is about 503.5551630522. Note that the first 3 decimals are identical.

The spelling of 127685376 in words is "one hundred twenty-seven million, six hundred eighty-five thousand, three hundred seventy-six".