127691640 has 224 divisors, whose sum is σ = 448567200. Its totient is φ = 32659200.

The previous prime is 127691617. The next prime is 127691717. The reversal of 127691640 is 46196721.

127691640 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 9 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 127691595 and 127691604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 845565 + ... + 845715.

Almost surely, 2^127691640 is an apocalyptic number.

127691640 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 127691640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224283600).

127691640 is an abundant number, since it is smaller than the sum of its proper divisors (320875560).

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

127691640 is a wasteful number, since it uses less digits than its factorization.

127691640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127691640 is about 11300.0725661387. The cubic root of 127691640 is about 503.5633974015.

The spelling of 127691640 in words is "one hundred twenty-seven million, six hundred ninety-one thousand, six hundred forty".