127676736 has 140 divisors (see below), whose sum is σ = 413064960. Its totient is φ = 38672640.

The previous prime is 127676711. The next prime is 127676737. The reversal of 127676736 is 637676721.

It is a super-2 number, since 2×127676736² = 32602697831227392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127676691 and 127676700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127676737) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 55905 + ... + 58143.

It is an arithmetic number, because the mean of its divisors is an integer number (2950464).

Almost surely, 2^127676736 is an apocalyptic number.

127676736 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 127676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206532480).

127676736 is an abundant number, since it is smaller than the sum of its proper divisors (285388224).

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

127676736 is a wasteful number, since it uses less digits than its factorization.

127676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2255 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 127676736 is about 11299.4130821030. The cubic root of 127676736 is about 503.5438048871.

It can be divided in two parts, 12767 and 6736, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 127676736 in words is "one hundred twenty-seven million, six hundred seventy-six thousand, seven hundred thirty-six".