127031976 has 160 divisors (see below), whose sum is σ = 375661440. Its totient is φ = 40061952.

The previous prime is 127031969. The next prime is 127032029. The reversal of 127031976 is 679130721.

It is a happy number.

127031976 is a `hidden beast` number, since 1 + 270 + 319 + 76 = 666.

It is a super-2 number, since 2×127031976² = 32274245852929152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 127031976.

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 39 ways as a sum of consecutive naturals, for example, 1309560 + ... + 1309656.

It is an arithmetic number, because the mean of its divisors is an integer number (2347884).

Almost surely, 2^127031976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127031976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187830720).

127031976 is an abundant number, since it is smaller than the sum of its proper divisors (248629464).

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

127031976 is a wasteful number, since it uses less digits than its factorization.

127031976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 127031976 is about 11270.8462858829. The cubic root of 127031976 is about 502.6947518668.

The spelling of 127031976 in words is "one hundred twenty-seven million, thirty-one thousand, nine hundred seventy-six".