127086960 has 480 divisors, whose sum is σ = 552964608. Its totient is φ = 23316480.

The previous prime is 127086959. The next prime is 127086997. The reversal of 127086960 is 69680721.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5525509 + ... + 5525531.

Almost surely, 2^127086960 is an apocalyptic number.

127086960 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 127086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276482304).

127086960 is an abundant number, since it is smaller than the sum of its proper divisors (425877648).

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

127086960 is a wasteful number, since it uses less digits than its factorization.

127086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 127086960 is about 11273.2852354582. The cubic root of 127086960 is about 502.7672695173.

The spelling of 127086960 in words is "one hundred twenty-seven million, eighty-six thousand, nine hundred sixty".