127677312 has 192 divisors, whose sum is σ = 427714560. Its totient is φ = 35804160.

The previous prime is 127677307. The next prime is 127677337. The reversal of 127677312 is 213776721.

127677312 is a `hidden beast` number, since 1 + 276 + 77 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 572433 + ... + 572655.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^127677312 is an apocalyptic number.

127677312 is a gapful number since it is divisible by the number (12) 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 127677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

127677312 is an abundant number, since it is smaller than the sum of its proper divisors (300037248).

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

127677312 is a wasteful number, since it uses less digits than its factorization.

127677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 127677312 is about 11299.4385701237. The cubic root of 127677312 is about 503.5445621140.

The spelling of 127677312 in words is "one hundred twenty-seven million, six hundred seventy-seven thousand, three hundred twelve".