127169640 has 192 divisors, whose sum is σ = 460933200. Its totient is φ = 30191616.

The previous prime is 127169621. The next prime is 127169663. The reversal of 127169640 is 46961721.

127169640 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 6 + 9 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8054244 + 119115396 = 2838^2 + 10914^2 .

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 = 127169595 and 127169604.

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 47 ways as a sum of consecutive naturals, for example, 135252 + ... + 136188.

Almost surely, 2^127169640 is an apocalyptic number.

127169640 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 127169640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230466600).

127169640 is an abundant number, since it is smaller than the sum of its proper divisors (333763560).

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

127169640 is a wasteful number, since it uses less digits than its factorization.

127169640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

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

The square root of 127169640 is about 11276.9517157785. The cubic root of 127169640 is about 502.8762756826.

The spelling of 127169640 in words is "one hundred twenty-seven million, one hundred sixty-nine thousand, six hundred forty".