127976640 has 112 divisors (see below), whose sum is σ = 443301120. Its totient is φ = 31022080.

The previous prime is 127976591. The next prime is 127976657. The reversal of 127976640 is 46679721.

It is a junction number, because it is equal to n+sod(n) for n = 127976592 and 127976601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501 + ... + 16619.

Almost surely, 2^127976640 is an apocalyptic number.

127976640 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 127976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221650560).

127976640 is an abundant number, since it is smaller than the sum of its proper divisors (315324480).

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

127976640 is a wasteful number, since it uses less digits than its factorization.

127976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12150 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 127976640 is about 11312.6760759778. The cubic root of 127976640 is about 503.9377600138.

The spelling of 127976640 in words is "one hundred twenty-seven million, nine hundred seventy-six thousand, six hundred forty".